67/70 multiplied by 14/3 in Fraction Form

The result of 67/70 multiplied by 14/3 is: 4 7/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions $\frac{6}{7} 70$ and $\frac{1}{4} 3$ .

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 14 = 938

Step 3: Multiply the Denominators

Multiply the denominators: 70 × 3 = 210

Step 4: Simplify the Fraction

We can simplify $\frac{9}{3} 8210$ to its lowest form.
The greatest common divisor (GCD) of 938 and 210 is 14.
Dividing both numerator and denominator by the GCD, we get $\frac{6}{7} 15$ .

Step 5: Convert to Mixed Number

The fraction $\frac{6}{7} 15$ can be written as the mixed number $4 \frac{7}{1} 5$ .

Final Answer

The result of 67/70 multiplied by 14/3 is:

\frac{67}{70} \times \frac{14}{3} = 4 \frac{7}{1} 5

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: