127/26 divided by 118/6 in Fraction Form

The result of 127/26 divided by 118/6 is: 381/1534

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{1}{2} 726$ by $\frac{1}{1} 86$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{1}{2} 726 \div \frac{1}{1} 86 = \frac{1}{2} 726 \times \frac{6}{1} 18$

Step 3: Multiply the Fractions

Multiply the numerators: 127 × 6 = 762
Multiply the denominators: 26 × 118 = 3068

Step 4: Simplify the Fraction

We can simplify $\frac{7}{6} 23068$ to its lowest form.
The greatest common divisor (GCD) of 762 and 3068 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{8} 11534$ .

Final Answer

The result of 127/26 divided by 118/6 is:

\frac{127}{26} \div \frac{118}{6} = \frac{3}{8} 11534

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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