71/127 multiplied by 26/4 in Fraction Form

The result of 71/127 multiplied by 26/4 is: 3 161/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{7}{1} 127$ and $\frac{2}{6} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 71 × 26 = 1846

Step 3: Multiply the Denominators

Multiply the denominators: 127 × 4 = 508

Step 4: Simplify the Fraction

We can simplify $\frac{1}{8} 46508$ to its lowest form.
The greatest common divisor (GCD) of 1846 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{2} 3254$ .

Step 5: Convert to Mixed Number

The fraction $\frac{9}{2} 3254$ can be written as the mixed number $3 \frac{1}{6} 1254$ .

Final Answer

The result of 71/127 multiplied by 26/4 is:

\frac{71}{127} \times \frac{26}{4} = 3 \frac{1}{6} 1254

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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).

Fraction Calculator

Calculate operations between any two fractions: