42/101 multiplied by 13/4 in Fraction Form

The result of 42/101 multiplied by 13/4 is: 1 71/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{4}{2} 101$ and $\frac{1}{3} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 13 = 546

Step 3: Multiply the Denominators

Multiply the denominators: 101 × 4 = 404

Step 4: Simplify the Fraction

We can simplify $\frac{5}{4} 6404$ to its lowest form.
The greatest common divisor (GCD) of 546 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{7} 3202$ .

Step 5: Convert to Mixed Number

The fraction $\frac{2}{7} 3202$ can be written as the mixed number $1 \frac{7}{1} 202$ .

Final Answer

The result of 42/101 multiplied by 13/4 is:

\frac{42}{101} \times \frac{13}{4} = 1 \frac{7}{1} 202

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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