27/102 multiplied by 13/3 in Fraction Form

The result of 27/102 multiplied by 13/3 is: 1 5/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{7} 102$ and $\frac{1}{3} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 13 = 351

Step 3: Multiply the Denominators

Multiply the denominators: 102 × 3 = 306

Step 4: Simplify the Fraction

We can simplify $\frac{3}{5} 1306$ to its lowest form.
The greatest common divisor (GCD) of 351 and 306 is 9.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{9} 34$ .

Step 5: Convert to Mixed Number

The fraction $\frac{3}{9} 34$ can be written as the mixed number $1 \frac{5}{3} 4$ .

Final Answer

The result of 27/102 multiplied by 13/3 is:

\frac{27}{102} \times \frac{13}{3} = 1 \frac{5}{3} 4

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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