77/24 multiplied by 213/3 in Fraction Form

The result of 77/24 multiplied by 213/3 is: 227 19/24

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{7}{7} 24$ and $\frac{2}{1} 33$ .

Step 2: Multiply the Numerators

Multiply the numerators: 77 × 213 = 16401

Step 3: Multiply the Denominators

Multiply the denominators: 24 × 3 = 72

Step 4: Simplify the Fraction

We can simplify $\frac{1}{6} 40172$ to its lowest form.
The greatest common divisor (GCD) of 16401 and 72 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{4} 6724$ .

Step 5: Convert to Mixed Number

The fraction $\frac{5}{4} 6724$ can be written as the mixed number $227 \frac{1}{9} 24$ .

Final Answer

The result of 77/24 multiplied by 213/3 is:

\frac{77}{24} \times \frac{213}{3} = 227 \frac{1}{9} 24

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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