Question

1 5/7÷4/9 = what's the answer and how to write the problem out

Answer 1

The solution to given expression $1\frac{5}{7} \div \frac{4}{9}$ is $\frac{27}{7}$ or 3.8571

Solution:

Given expression is:

$1\frac{5}{7} \div \frac{4}{9}$

First let us convert the mixed fraction to improper fraction

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Thus we get,

$1\frac{5}{7} = \frac{1 \times 7 + 5}{7} = \frac{12}{7}$

Now the given expression becomes,

$1\frac{5}{7} \div \frac{4}{9} = \frac{12}{7} \div \frac{4}{9}$

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

$\frac{12}{7} \div \frac{4}{9} = \frac{12}{7} \times \frac{9}{4}$

Multiply the numerators, multiply the denominators, and leave the product in factored form

$\frac{12}{7} \times \frac{9}{4} = \frac{27}{7}$

In decimal form we get,

$\frac{27}{7} = 3.8571$

Thus the solution to given expression is $\frac{27}{7}$ or 3.8571