31/27 multiplied by 102/3 in Fraction Form

The result of 31/27 multiplied by 102/3 is: 39 1/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{3}{1} 27$ and $\frac{1}{0} 23$ .

Step 2: Multiply the Numerators

Multiply the numerators: 31 × 102 = 3162

Step 3: Multiply the Denominators

Multiply the denominators: 27 × 3 = 81

Step 4: Simplify the Fraction

We can simplify $\frac{3}{1} 6281$ to its lowest form.
The greatest common divisor (GCD) of 3162 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{0} 5427$ .

Step 5: Convert to Mixed Number

The fraction $\frac{1}{0} 5427$ can be written as the mixed number $39 \frac{1}{2} 7$ .

Final Answer

The result of 31/27 multiplied by 102/3 is:

\frac{31}{27} \times \frac{102}{3} = 39 \frac{1}{2} 7

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: