13/102 multiplied by 80/3 in Fraction Form

The result of 13/102 multiplied by 80/3 is: 3 61/153

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{3} 102$ and $\frac{8}{0} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 13 × 80 = 1040

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 3 = 306

Step 4: Simplify the Fraction

We can simplify $\frac{1}{0} 40306$ to its lowest form.
The greatest common divisor (GCD) of 1040 and 306 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{2} 0153$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{2} 0153$ can be written as the mixed number $3 \frac{6}{1} 153$ .

Final Answer

The result of 13/102 multiplied by 80/3 is:

\frac{13}{102} \times \frac{80}{3} = 3 \frac{6}{1} 153

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: