2/32 divided by 73/2 in Fraction Form

The result of 2/32 divided by 73/2 is: 1/584

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac232\) by \(\frac732\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac232 \div \frac732 = \frac232 \times \frac273\)

Step 3: Multiply the Fractions

Multiply the numerators: 2 × 2 = 4
Multiply the denominators: 32 × 73 = 2336

Step 4: Simplify the Fraction

We can simplify \(\frac42336\) to its lowest form.
The greatest common divisor (GCD) of 4 and 2336 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac1584\).

Final Answer

The result of 2/32 divided by 73/2 is:

\[ \frac{2}{32} \div \frac{73}{2} = \frac1584 \]

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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