27/10 multiplied by 35/4 in Fraction Form

The result of 27/10 multiplied by 35/4 is: 23 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{2}{7} 10$ and $\frac{3}{5} 4$ .

Step 2: Multiply the Numerators

Multiply the numerators: 27 × 35 = 945

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 4 = 40

Step 4: Simplify the Fraction

We can simplify $\frac{9}{4} 540$ to its lowest form.
The greatest common divisor (GCD) of 945 and 40 is 5.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{8} 98$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{8} 98$ can be written as the mixed number $23 \frac{5}{8}$ .

Final Answer

The result of 27/10 multiplied by 35/4 is:

\frac{27}{10} \times \frac{35}{4} = 23 \frac{5}{8}

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: