120/82 multiplied by 81/4 in Fraction Form

The result of 120/82 multiplied by 81/4 is: 29 26/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{2} 082$ and $\frac{8}{1} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 120 × 81 = 9720

Step 3: Multiply the Denominators

Multiply the denominators: 82 × 4 = 328

Step 4: Simplify the Fraction

We can simplify $\frac{9}{7} 20328$ to its lowest form.
The greatest common divisor (GCD) of 9720 and 328 is 8.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{2} 1541$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{2} 1541$ can be written as the mixed number $29 \frac{2}{6} 41$ .

Final Answer

The result of 120/82 multiplied by 81/4 is:

\frac{120}{82} \times \frac{81}{4} = 29 \frac{2}{6} 41

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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