What is 78/73 + 5/10?
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Here's how you add
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Step 1Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator. Now you 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 5 by 73, and get 365, then multiply 73 by 10 and get 730. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 780 + 365 = 1145 The sum we get is
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Step 3The last step is to reduce the fraction if we can. To find out, we try dividing it by 2... Nope. Try the next prime number, 3... Nope. Try the next prime number, 5... Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
Now, try the same number again. 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... No good. 149 is larger than 146. So we're done reducing. Congratulations! Here's your final answer to 78/73 + 5/10
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