83/15 multiplied by 213/4 in Fraction Form

The result of 83/15 multiplied by 213/4 is: 294 13/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{8}{3} 15$ and $\frac{2}{1} 34$ .

Step 2: Multiply the Numerators

Multiply the numerators: 83 × 213 = 17679

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 4 = 60

Step 4: Simplify the Fraction

We can simplify $\frac{1}{7} 67960$ to its lowest form.
The greatest common divisor (GCD) of 17679 and 60 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{8} 9320$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{8} 9320$ can be written as the mixed number $294 \frac{1}{3} 20$ .

Final Answer

The result of 83/15 multiplied by 213/4 is:

\frac{83}{15} \times \frac{213}{4} = 294 \frac{1}{3} 20

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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