10/42 multiplied by 27/4 in Fraction Form

The result of 10/42 multiplied by 27/4 is: 1 17/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{1}{0} 42$ and $\frac{2}{7} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 27 = 270

Step 3: Multiply the Denominators

Multiply the denominators: 42 × 4 = 168

Step 4: Simplify the Fraction

We can simplify $\frac{2}{7} 0168$ to its lowest form.
The greatest common divisor (GCD) of 270 and 168 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{5} 28$ .

Step 5: Convert to Mixed Number

The fraction $\frac{4}{5} 28$ can be written as the mixed number $1 \frac{1}{7} 28$ .

Final Answer

The result of 10/42 multiplied by 27/4 is:

\frac{10}{42} \times \frac{27}{4} = 1 \frac{1}{7} 28

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).

Fraction Calculator

Calculate operations between any two fractions: