What is [tex]10 \frac{3}{4} - 7 \frac{1}{4}[/tex]?
**Keep this as a fraction. Do not convert to a decimal.**
Answer (3)
There are several ways to do this but the way I'm going to do it is as follows Change the fractions into improper fractions Multiply the denominator by the whole number then add the numerator 10 4 3 ⇒ 4 43 7 4 1 ⇒ 4 29 You subtract the numerators 4 43 − 4 29 = 4 14 You then divide the numerator(top) by the denominator(bottom) 14÷4= 3 4 2 ⇒ 3 2 1
10 4 3 → 4 43 7 4 1 → 4 29 10 4 3 − 7 4 1 = = 4 43 − 4 29 = = 4 14 = = 2 7
To calculate 10 4 3 − 7 4 1 , we convert the mixed numbers to improper fractions, resulting in 4 43 − 4 29 , which simplifies to 2 7 .
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