49/170 multiplied by 102/4 in Fraction Form

The result of 49/170 multiplied by 102/4 is: 7 7/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{9} 170$ and $\frac{1}{0} 24$ .

Step 2: Multiply the Numerators

Multiply the numerators: 49 × 102 = 4998

Step 3: Multiply the Denominators

Multiply the denominators: 170 × 4 = 680

Step 4: Simplify the Fraction

We can simplify $\frac{4}{9} 98680$ to its lowest form.
The greatest common divisor (GCD) of 4998 and 680 is 34.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{4} 720$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{4} 720$ can be written as the mixed number $7 \frac{7}{2} 0$ .

Final Answer

The result of 49/170 multiplied by 102/4 is:

\frac{49}{170} \times \frac{102}{4} = 7 \frac{7}{2} 0

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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