83/27 divided by 53/8 in Fraction Form

The result of 83/27 divided by 53/8 is: 664/1431

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac8327\) by \(\frac538\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac8327 \div \frac538 = \frac8327 \times \frac853\)

Step 3: Multiply the Fractions

Multiply the numerators: 83 × 8 = 664
Multiply the denominators: 27 × 53 = 1431

Final Answer

The result of 83/27 divided by 53/8 is:

\[ \frac{83}{27} \div \frac{53}{8} = \frac6641431 \]

Understanding Fraction Division

How to Divide Fractions

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

\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)

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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