27/16 divided by 2/3 in Fraction Form

The result of 27/16 divided by 2/3 is: 2 17/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{2}{7} 16$ by $\frac{2}{3}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{2}{7} 16 \div \frac{2}{3} = \frac{2}{7} 16 \times \frac{3}{2}$

Step 3: Multiply the Fractions

Multiply the numerators: 27 × 3 = 81
Multiply the denominators: 16 × 2 = 32

Step 4: Convert to Mixed Number

The fraction $\frac{8}{1} 32$ can be written as the mixed number $2 \frac{1}{7} 32$ .

Final Answer

The result of 27/16 divided by 2/3 is:

\frac{27}{16} \div \frac{2}{3} = 2 \frac{1}{7} 32

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a d}{b c}$

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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