Here's how we add
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Step 1We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator. So we multiply 87 by 7, and get 609, then we multiply 100 by 7 and get 700. Do the same for the second term. We multiply 6 by 100, and get 600, then multiply 100 by 7 and get 700. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 609 + 600 = 1209 So the answer is:
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Step 3Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction? To find out, we try dividing it by 2... No good. So next you try the next prime number, which is 3... No good. So next you try the next prime number, which is 5... No good. So next you try the next prime number, which is 7... No good. So next you try the next prime number, which is 11... No good. So next you try the next prime number, which is 13... No good. So next you try the next prime number, which is 17... No good. So next you try the next prime number, which is 19... No good. So next you try the next prime number, which is 23... No good. So next you try the next prime number, which is 29... No good. So next you try the next prime number, which is 31... No good. So next you try the next prime number, which is 37... No good. So next you try the next prime number, which is 41... No good. So next you try the next prime number, which is 43... No good. So next you try the next prime number, which is 47... No good. So next you try the next prime number, which is 53... No good. So next you try the next prime number, which is 59... No good. So next you try the next prime number, which is 61... No good. So next you try the next prime number, which is 67... No good. So next you try the next prime number, which is 71... No good. So next you try the next prime number, which is 73... No good. So next you try the next prime number, which is 79... No good. So next you try the next prime number, which is 83... No good. So next you try the next prime number, which is 89... No good. So next you try the next prime number, which is 97... No good. So next you try the next prime number, which is 101... No good. So next you try the next prime number, which is 103... No good. So next you try the next prime number, which is 107... No good. So next you try the next prime number, which is 109... No good. So next you try the next prime number, which is 113... No good. So next you try the next prime number, which is 127... No good. So next you try the next prime number, which is 131... No good. So next you try the next prime number, which is 137... No good. So next you try the next prime number, which is 139... No good. So next you try the next prime number, which is 149... No good. So next you try the next prime number, which is 151... No good. So next you try the next prime number, which is 157... No good. So next you try the next prime number, which is 163... No good. So next you try the next prime number, which is 167... No good. So next you try the next prime number, which is 173... No good. So next you try the next prime number, which is 179... No good. So next you try the next prime number, which is 181... No good. So next you try the next prime number, which is 191... No good. So next you try the next prime number, which is 193... No good. So next you try the next prime number, which is 197... No good. So next you try the next prime number, which is 199... No good. So next you try the next prime number, which is 211... No good. So next you try the next prime number, which is 223... No good. So next you try the next prime number, which is 227... No good. So next you try the next prime number, which is 229... No good. So next you try the next prime number, which is 233... No good. So next you try the next prime number, which is 239... No good. So next you try the next prime number, which is 241... No good. So next you try the next prime number, which is 251... No good. So next you try the next prime number, which is 257... No good. So next you try the next prime number, which is 263... No good. So next you try the next prime number, which is 269... No good. So next you try the next prime number, which is 271... No good. So next you try the next prime number, which is 277... No good. So next you try the next prime number, which is 281... No good. So next you try the next prime number, which is 283... No good. So next you try the next prime number, which is 293... No good. So next you try the next prime number, which is 307... No good. So next you try the next prime number, which is 311... No good. So next you try the next prime number, which is 313... No good. So next you try the next prime number, which is 317... No good. So next you try the next prime number, which is 331... No good. So next you try the next prime number, which is 337... No good. So next you try the next prime number, which is 347... No good. So next you try the next prime number, which is 349... No good. So next you try the next prime number, which is 353... No good. So next you try the next prime number, which is 359... No good. So next you try the next prime number, which is 367... No good. So next you try the next prime number, which is 373... No good. So next you try the next prime number, which is 379... No good. So next you try the next prime number, which is 383... No good. So next you try the next prime number, which is 389... No good. So next you try the next prime number, which is 397... No good. So next you try the next prime number, which is 401... No good. So next you try the next prime number, which is 409... No good. So next you try the next prime number, which is 419... No good. So next you try the next prime number, which is 421... No good. So next you try the next prime number, which is 431... No good. So next you try the next prime number, which is 433... No good. So next you try the next prime number, which is 439... No good. So next you try the next prime number, which is 443... No good. So next you try the next prime number, which is 449... No good. So next you try the next prime number, which is 457... No good. So next you try the next prime number, which is 461... No good. So next you try the next prime number, which is 463... No good. So next you try the next prime number, which is 467... No good. So next you try the next prime number, which is 479... No good. So next you try the next prime number, which is 487... No good. So next you try the next prime number, which is 491... No good. So next you try the next prime number, which is 499... No good. So next you try the next prime number, which is 503... No good. So next you try the next prime number, which is 509... No good. So next you try the next prime number, which is 521... No good. So next you try the next prime number, which is 523... No good. So next you try the next prime number, which is 541... No good. So next you try the next prime number, which is 547... No good. So next you try the next prime number, which is 557... No good. So next you try the next prime number, which is 563... No good. So next you try the next prime number, which is 569... No good. So next you try the next prime number, which is 571... No good. So next you try the next prime number, which is 577... No good. So next you try the next prime number, which is 587... No good. So next you try the next prime number, which is 593... No good. So next you try the next prime number, which is 599... No good. So next you try the next prime number, which is 601... No good. So next you try the next prime number, which is 607... No good. So next you try the next prime number, which is 613... No good. So next you try the next prime number, which is 617... No good. So next you try the next prime number, which is 619... No good. So next you try the next prime number, which is 631... No good. So next you try the next prime number, which is 641... No good. So next you try the next prime number, which is 643... No good. So next you try the next prime number, which is 647... No good. So next you try the next prime number, which is 653... No good. So next you try the next prime number, which is 659... No good. So next you try the next prime number, which is 661... No good. So next you try the next prime number, which is 673... No good. So next you try the next prime number, which is 677... No good. So next you try the next prime number, which is 683... No good. So next you try the next prime number, which is 691... No good. So next you try the next prime number, which is 701... No good. 701 is larger than 700. So we're done reducing. And we're done! Here's the final answer to 87/100 + 6/7
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