83/26 multiplied by 125/3 in Fraction Form

The result of 83/26 multiplied by 125/3 is: 133 1/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac8326\) and \(\frac1253\).

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 125 = 10375

Step 3: Multiply the Denominators

Multiply the denominators: 26 × 3 = 78

Step 4: Convert to Mixed Number

The fraction \(\frac1037578\) can be written as the mixed number \(133\frac178\).

Final Answer

The result of 83/26 multiplied by 125/3 is:

\[ \frac{83}{26} \times \frac{125}{3} = 133\frac178 \]

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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