26/35 multiplied by 26/4 in Fraction Form

The result of 26/35 multiplied by 26/4 is: 4 29/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{6} 35$ and $\frac{2}{6} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 26 × 26 = 676

Step 3: Multiply the Denominators

Multiply the denominators: 35 × 4 = 140

Step 4: Simplify the Fraction

We can simplify $\frac{6}{7} 6140$ to its lowest form.
The greatest common divisor (GCD) of 676 and 140 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{6} 935$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{6} 935$ can be written as the mixed number $4 \frac{2}{9} 35$ .

Final Answer

The result of 26/35 multiplied by 26/4 is:

\frac{26}{35} \times \frac{26}{4} = 4 \frac{2}{9} 35

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: