127/57 divided by 127/3 in Fraction Form

The result of 127/57 divided by 127/3 is: 1/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 12757 by 1273.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
12757÷1273=12757×3127

Step 3: Multiply the Fractions

Multiply the numerators: 127 × 3 = 381
Multiply the denominators: 57 × 127 = 7239

Step 4: Simplify the Fraction

We can simplify 3817239 to its lowest form.
The greatest common divisor (GCD) of 381 and 7239 is 381.
Dividing both numerator and denominator by the GCD, we get 119.

Final Answer

The result of 127/57 divided by 127/3 is:

12757÷1273=119

Understanding Fraction Division

How to Divide Fractions

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

ab÷cd=ab×dc=adbc

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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