How do you evaluate $5 \frac{2}{5} \div 4 \frac{1}{2} =$ $5\frac { 2} { 5} \div 4\frac { 1} { 2} =$ ?

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How do you evaluate $5 \frac{2}{5} \div 4 \frac{1}{2} =$ $5\frac { 2} { 5} \div 4\frac { 1} { 2} =$ ?

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Answer 1 · 2017-02-07T21:11:17

$1 \frac{1}{5}$ $1 1/5$

Explanation:

You have to make mixed numbers into improper factions when multiplying and dividing fractions.

$5 \frac{2}{5} = \frac{27}{5}$ $5 2/5 =27/5$ and $4 \frac{1}{2} = \frac{9}{2}$ $4 1/2 =9/2$ .

When dividing fractions you have to change the divide to multiply and flip over the second fraction, in this case $\frac{9}{2}$ $9/2$ . So the calculation is

$\frac{27}{5} \div \frac{9}{2} = \frac{27}{5} \times \frac{2}{9}$ $27/5div 9/2 = 27/5 xx2/9$

There is a trick in doing this.

$27 and 9$ $27 and 9$ have a common factor which is $9$ $9$ .

So we divide the numerator and denominator by $9$ $9$

$cancel27^3/5 xx 2/cancel9$

To get: $3/5xx2/1=6/5=(5+1)/5=5/5+1/5=1+1/5=1 1/5$ .

So the answer is $1 1/5$ .

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How do you evaluate $5 \frac{2}{5} \div 4 \frac{1}{2} =$ $5\frac { 2} { 5} \div 4\frac { 1} { 2} =$ ?

1 Answer

Explanation:

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