127/99 divided by 275/4 in Fraction Form

The result of 127/99 divided by 275/4 is: 508/27225

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac12799\) by \(\frac2754\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac12799 \div \frac2754 = \frac12799 \times \frac4275\)

Step 3: Multiply the Fractions

Multiply the numerators: 127 × 4 = 508
Multiply the denominators: 99 × 275 = 27225

Final Answer

The result of 127/99 divided by 275/4 is:

\[ \frac{127}{99} \div \frac{275}{4} = \frac50827225 \]

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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