What is 78/73 + 10/11?
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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 78 by 11, and get 858, then we multiply 73 by 11 and get 803. Do the same for the second term. We multiply 10 by 73, and get 730, then multiply 73 by 11 and get 803. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 858 + 730 = 1588 Now we have an answer.
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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. Try the next prime number, 3... Nope. Try the next prime number, 5... Nope. Try the next prime number, 7... Nope. Try the next prime number, 11... Nope. Try the next prime number, 13... Nope. Try the next prime number, 17... Nope. Try the next prime number, 19... Nope. Try the next prime number, 23... Nope. Try the next prime number, 29... Nope. Try the next prime number, 31... Nope. Try the next prime number, 37... Nope. Try the next prime number, 41... Nope. Try the next prime number, 43... Nope. Try the next prime number, 47... Nope. Try the next prime number, 53... Nope. Try the next prime number, 59... Nope. Try the next prime number, 61... Nope. Try the next prime number, 67... Nope. Try the next prime number, 71... Nope. Try the next prime number, 73... Nope. Try the next prime number, 79... Nope. Try the next prime number, 83... Nope. Try the next prime number, 89... Nope. Try the next prime number, 97... Nope. Try the next prime number, 101... Nope. Try the next prime number, 103... Nope. Try the next prime number, 107... Nope. Try the next prime number, 109... Nope. Try the next prime number, 113... Nope. Try the next prime number, 127... Nope. Try the next prime number, 131... Nope. Try the next prime number, 137... Nope. Try the next prime number, 139... Nope. Try the next prime number, 149... Nope. Try the next prime number, 151... Nope. Try the next prime number, 157... Nope. Try the next prime number, 163... Nope. Try the next prime number, 167... Nope. Try the next prime number, 173... Nope. Try the next prime number, 179... Nope. Try the next prime number, 181... Nope. Try the next prime number, 191... Nope. Try the next prime number, 193... Nope. Try the next prime number, 197... Nope. Try the next prime number, 199... Nope. Try the next prime number, 211... Nope. Try the next prime number, 223... Nope. Try the next prime number, 227... Nope. Try the next prime number, 229... Nope. Try the next prime number, 233... Nope. Try the next prime number, 239... Nope. Try the next prime number, 241... Nope. Try the next prime number, 251... Nope. Try the next prime number, 257... Nope. Try the next prime number, 263... Nope. Try the next prime number, 269... Nope. Try the next prime number, 271... Nope. Try the next prime number, 277... Nope. Try the next prime number, 281... Nope. Try the next prime number, 283... Nope. Try the next prime number, 293... Nope. Try the next prime number, 307... Nope. Try the next prime number, 311... Nope. Try the next prime number, 313... Nope. Try the next prime number, 317... Nope. Try the next prime number, 331... Nope. Try the next prime number, 337... Nope. Try the next prime number, 347... Nope. Try the next prime number, 349... Nope. Try the next prime number, 353... Nope. Try the next prime number, 359... Nope. Try the next prime number, 367... Nope. Try the next prime number, 373... Nope. Try the next prime number, 379... Nope. Try the next prime number, 383... Nope. Try the next prime number, 389... Nope. Try the next prime number, 397... Nope. Try the next prime number, 401... Nope. Try the next prime number, 409... Nope. Try the next prime number, 419... Nope. Try the next prime number, 421... Nope. Try the next prime number, 431... Nope. Try the next prime number, 433... Nope. Try the next prime number, 439... Nope. Try the next prime number, 443... Nope. Try the next prime number, 449... Nope. Try the next prime number, 457... Nope. Try the next prime number, 461... Nope. Try the next prime number, 463... Nope. Try the next prime number, 467... Nope. Try the next prime number, 479... Nope. Try the next prime number, 487... Nope. Try the next prime number, 491... Nope. Try the next prime number, 499... Nope. Try the next prime number, 503... Nope. Try the next prime number, 509... Nope. Try the next prime number, 521... Nope. Try the next prime number, 523... Nope. Try the next prime number, 541... Nope. Try the next prime number, 547... Nope. Try the next prime number, 557... Nope. Try the next prime number, 563... Nope. Try the next prime number, 569... Nope. Try the next prime number, 571... Nope. Try the next prime number, 577... Nope. Try the next prime number, 587... Nope. Try the next prime number, 593... Nope. Try the next prime number, 599... Nope. Try the next prime number, 601... Nope. Try the next prime number, 607... Nope. Try the next prime number, 613... Nope. Try the next prime number, 617... Nope. Try the next prime number, 619... Nope. Try the next prime number, 631... Nope. Try the next prime number, 641... Nope. Try the next prime number, 643... Nope. Try the next prime number, 647... Nope. Try the next prime number, 653... Nope. Try the next prime number, 659... Nope. Try the next prime number, 661... Nope. Try the next prime number, 673... Nope. Try the next prime number, 677... Nope. Try the next prime number, 683... Nope. Try the next prime number, 691... Nope. Try the next prime number, 701... Nope. Try the next prime number, 709... Nope. Try the next prime number, 719... Nope. Try the next prime number, 727... Nope. Try the next prime number, 733... Nope. Try the next prime number, 739... Nope. Try the next prime number, 743... Nope. Try the next prime number, 751... Nope. Try the next prime number, 757... Nope. Try the next prime number, 761... Nope. Try the next prime number, 769... Nope. Try the next prime number, 773... Nope. Try the next prime number, 787... Nope. Try the next prime number, 797... Nope. Try the next prime number, 809... No good. 809 is larger than 803. So we're done reducing. Congratulations! Here's your final answer to 78/73 + 10/11
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