Question

exercise 7 (answers on page 39)
reduce these top heavy fractions to mixed numbers.

1. \\(\frac{27}{8}\\) 2. \\(\frac{13}{5}\\) 3. \\(\frac{93}{8}\\) 4. \\(\frac{66}{7}\\) 5. \\(\frac{25}{2}\\)

Explanation:

1. $\boldsymbol{\frac{27}{8}}$

Step1: Divide 27 by 8

$27 \div 8 = 3$ with a remainder of $27 - 8\times3 = 3$.

Step2: Write as mixed number

A mixed number is formed by the quotient, remainder over divisor. So $\frac{27}{8}=3\frac{3}{8}$.

Step1: Divide 13 by 5

$13 \div 5 = 2$ with a remainder of $13 - 5\times2 = 3$.

Step2: Write as mixed number

Using quotient, remainder over divisor: $\frac{13}{5}=2\frac{3}{5}$.

Step1: Divide 93 by 8

$93 \div 8 = 11$ with a remainder of $93 - 8\times11 = 5$.

Step2: Write as mixed number

So $\frac{93}{8}=11\frac{5}{8}$.

Answer:

$3\frac{3}{8}$

2. $\boldsymbol{\frac{13}{5}}$