This is how we add
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Step 1We have to make sure the denominators are equal. Since 10 is evenly divided by 100, we can multiply just one term to get a common denominator. Multiply 7 by 10, and get 70, then we multiply 10 by 10 and get 100. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 70 + 5 = 75 This yields the answer
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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... 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... Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
So far so good... let's try to divide by that number again. Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
So far so good... let's try to divide by that number again. No good. 5 is larger than 3. So we're done reducing. And we're done! Here's the final answer to 7/10 + 5/100
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