107/135 multiplied by 13/4 in Fraction Form

The result of 107/135 multiplied by 13/4 is: 2 311/540

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac107135\) and \(\frac134\).

Step 2: Multiply the Numerators

Multiply the numerators: 107 × 13 = 1391

Step 3: Multiply the Denominators

Multiply the denominators: 135 × 4 = 540

Step 4: Convert to Mixed Number

The fraction \(\frac1391540\) can be written as the mixed number \(2\frac311540\).

Final Answer

The result of 107/135 multiplied by 13/4 is:

\[ \frac{107}{135} \times \frac{13}{4} = 2\frac311540 \]

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).

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