213/8 multiplied by 51/2 in Fraction Form

The result of 213/8 multiplied by 51/2 is: 678 15/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{1} 38$ and $\frac{5}{1} 2$ .

Step 2: Multiply the Numerators

Multiply the numerators: 213 × 51 = 10863

Step 3: Multiply the Denominators

Multiply the denominators: 8 × 2 = 16

Step 4: Convert to Mixed Number

The fraction $\frac{1}{0} 86316$ can be written as the mixed number $678 \frac{1}{5} 16$ .

Final Answer

The result of 213/8 multiplied by 51/2 is:

\frac{213}{8} \times \frac{51}{2} = 678 \frac{1}{5} 16

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: