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7/8 - 5/6 with explanation |
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Answer» Answer: Here's how to subtract 5/6 from 7/8: 7 8 − 5 6 Step 1 We can't subtract two fractions with different denominators. So you need to get a common denominator. 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 7 by 6, and get 42. Then we multiply 5 by 8, and get 40. Next we give both terms new denominators -- 8 × 6 = 48. So now our fractions look like this: 42 48 − 40 48 Step 2 Since our denominators match, we can subtract the numerators. 42 − 40 = 2 So the answer is: 2 48
Step 3 Last 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... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it: 2 48 ÷ 2 = 1 24 Let's try dividing by 2 again... No GOOD. 2 is larger than 1. So we're done reducing. There you have it! The final answer is: 7 8 − 5 6 = 1 24
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