What is 72/63 + 6/7?
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Let's add
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Step 1Our denominators (bottom numbers) don't match, so we can't add yet. Since 7 is evenly divided by 63, we can multiply just one term to get a common denominator. Multiply 6 by 9, and get 54, then we multiply 7 by 9 and get 63. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 72 + 54 = 126 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... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Now, try the same number again. Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Now, try the same number again. Nope. Try the next prime number, 5... Nope. Try the next prime number, 7... Are both the numerator and the denominator evenly divisible by 7? Yes! So we reduce it:
Now, try the same number again. No good. 7 is larger than 2. So we're done reducing. Congratulations! Here's your final answer to 72/63 + 6/7
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