28/139 multiplied by 164/4 in Fraction Form

The result of 28/139 multiplied by 164/4 is: 8 36/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{8} 139$ and $\frac{1}{6} 44$ .

Step 2: Multiply the Numerators

Multiply the numerators: 28 × 164 = 4592

Step 3: Multiply the Denominators

Multiply the denominators: 139 × 4 = 556

Step 4: Simplify the Fraction

We can simplify $\frac{4}{5} 92556$ to its lowest form.
The greatest common divisor (GCD) of 4592 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{1} 48139$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{1} 48139$ can be written as the mixed number $8 \frac{3}{6} 139$ .

Final Answer

The result of 28/139 multiplied by 164/4 is:

\frac{28}{139} \times \frac{164}{4} = 8 \frac{3}{6} 139

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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