Here's how to 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 78 by 10, and get 780, then we multiply 73 by 10 and get 730. Do the same for the second term. We multiply 7 by 73, and get 511, then multiply 73 by 10 and get 730. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 780 + 511 = 1291 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... Nope! So now we try the next greatest prime number, 3... Nope! So now we try the next greatest prime number, 5... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Nope! So now we try the next greatest prime number, 13... Nope! So now we try the next greatest prime number, 17... Nope! So now we try the next greatest prime number, 19... Nope! So now we try the next greatest prime number, 23... Nope! So now we try the next greatest prime number, 29... Nope! So now we try the next greatest prime number, 31... Nope! So now we try the next greatest prime number, 37... Nope! So now we try the next greatest prime number, 41... Nope! So now we try the next greatest prime number, 43... Nope! So now we try the next greatest prime number, 47... Nope! So now we try the next greatest prime number, 53... Nope! So now we try the next greatest prime number, 59... Nope! So now we try the next greatest prime number, 61... Nope! So now we try the next greatest prime number, 67... Nope! So now we try the next greatest prime number, 71... Nope! So now we try the next greatest prime number, 73... Nope! So now we try the next greatest prime number, 79... Nope! So now we try the next greatest prime number, 83... Nope! So now we try the next greatest prime number, 89... Nope! So now we try the next greatest prime number, 97... Nope! So now we try the next greatest prime number, 101... Nope! So now we try the next greatest prime number, 103... Nope! So now we try the next greatest prime number, 107... Nope! So now we try the next greatest prime number, 109... Nope! So now we try the next greatest prime number, 113... Nope! So now we try the next greatest prime number, 127... Nope! So now we try the next greatest prime number, 131... Nope! So now we try the next greatest prime number, 137... Nope! So now we try the next greatest prime number, 139... Nope! So now we try the next greatest prime number, 149... Nope! So now we try the next greatest prime number, 151... Nope! So now we try the next greatest prime number, 157... Nope! So now we try the next greatest prime number, 163... Nope! So now we try the next greatest prime number, 167... Nope! So now we try the next greatest prime number, 173... Nope! So now we try the next greatest prime number, 179... Nope! So now we try the next greatest prime number, 181... Nope! So now we try the next greatest prime number, 191... Nope! So now we try the next greatest prime number, 193... Nope! So now we try the next greatest prime number, 197... Nope! So now we try the next greatest prime number, 199... Nope! So now we try the next greatest prime number, 211... Nope! So now we try the next greatest prime number, 223... Nope! So now we try the next greatest prime number, 227... Nope! So now we try the next greatest prime number, 229... Nope! So now we try the next greatest prime number, 233... Nope! So now we try the next greatest prime number, 239... Nope! So now we try the next greatest prime number, 241... Nope! So now we try the next greatest prime number, 251... Nope! So now we try the next greatest prime number, 257... Nope! So now we try the next greatest prime number, 263... Nope! So now we try the next greatest prime number, 269... Nope! So now we try the next greatest prime number, 271... Nope! So now we try the next greatest prime number, 277... Nope! So now we try the next greatest prime number, 281... Nope! So now we try the next greatest prime number, 283... Nope! So now we try the next greatest prime number, 293... Nope! So now we try the next greatest prime number, 307... Nope! So now we try the next greatest prime number, 311... Nope! So now we try the next greatest prime number, 313... Nope! So now we try the next greatest prime number, 317... Nope! So now we try the next greatest prime number, 331... Nope! So now we try the next greatest prime number, 337... Nope! So now we try the next greatest prime number, 347... Nope! So now we try the next greatest prime number, 349... Nope! So now we try the next greatest prime number, 353... Nope! So now we try the next greatest prime number, 359... Nope! So now we try the next greatest prime number, 367... Nope! So now we try the next greatest prime number, 373... Nope! So now we try the next greatest prime number, 379... Nope! So now we try the next greatest prime number, 383... Nope! So now we try the next greatest prime number, 389... Nope! So now we try the next greatest prime number, 397... Nope! So now we try the next greatest prime number, 401... Nope! So now we try the next greatest prime number, 409... Nope! So now we try the next greatest prime number, 419... Nope! So now we try the next greatest prime number, 421... Nope! So now we try the next greatest prime number, 431... Nope! So now we try the next greatest prime number, 433... Nope! So now we try the next greatest prime number, 439... Nope! So now we try the next greatest prime number, 443... Nope! So now we try the next greatest prime number, 449... Nope! So now we try the next greatest prime number, 457... Nope! So now we try the next greatest prime number, 461... Nope! So now we try the next greatest prime number, 463... Nope! So now we try the next greatest prime number, 467... Nope! So now we try the next greatest prime number, 479... Nope! So now we try the next greatest prime number, 487... Nope! So now we try the next greatest prime number, 491... Nope! So now we try the next greatest prime number, 499... Nope! So now we try the next greatest prime number, 503... Nope! So now we try the next greatest prime number, 509... Nope! So now we try the next greatest prime number, 521... Nope! So now we try the next greatest prime number, 523... Nope! So now we try the next greatest prime number, 541... Nope! So now we try the next greatest prime number, 547... Nope! So now we try the next greatest prime number, 557... Nope! So now we try the next greatest prime number, 563... Nope! So now we try the next greatest prime number, 569... Nope! So now we try the next greatest prime number, 571... Nope! So now we try the next greatest prime number, 577... Nope! So now we try the next greatest prime number, 587... Nope! So now we try the next greatest prime number, 593... Nope! So now we try the next greatest prime number, 599... Nope! So now we try the next greatest prime number, 601... Nope! So now we try the next greatest prime number, 607... Nope! So now we try the next greatest prime number, 613... Nope! So now we try the next greatest prime number, 617... Nope! So now we try the next greatest prime number, 619... Nope! So now we try the next greatest prime number, 631... Nope! So now we try the next greatest prime number, 641... Nope! So now we try the next greatest prime number, 643... Nope! So now we try the next greatest prime number, 647... Nope! So now we try the next greatest prime number, 653... Nope! So now we try the next greatest prime number, 659... Nope! So now we try the next greatest prime number, 661... Nope! So now we try the next greatest prime number, 673... Nope! So now we try the next greatest prime number, 677... Nope! So now we try the next greatest prime number, 683... Nope! So now we try the next greatest prime number, 691... Nope! So now we try the next greatest prime number, 701... Nope! So now we try the next greatest prime number, 709... Nope! So now we try the next greatest prime number, 719... Nope! So now we try the next greatest prime number, 727... Nope! So now we try the next greatest prime number, 733... No good. 733 is larger than 730. So we're done reducing. There you have it! Here's the final answer to 78/73 + 7/10
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