Fraction Calculation: 5/16 × 4/7
In this article, we will discuss the calculation of the fraction 5/16 multiplied by 4/7.
What is a Fraction?
A fraction is a way to express a part of a whole. It consists of a numerator (top number) and a denominator (bottom number) separated by a horizontal line. For example, in the fraction 5/16, the numerator is 5 and the denominator is 16.
How to Multiply Fractions
To multiply two fractions, we need to follow these steps:
- Multiply the numerators: Multiply the numerators (top numbers) of the two fractions together.
- Multiply the denominators: Multiply the denominators (bottom numbers) of the two fractions together.
- Write the answer: Write the product of the numerators as the new numerator and the product of the denominators as the new denominator.
Calculation: 5/16 × 4/7
Now, let's calculate the product of 5/16 and 4/7:
Step 1: Multiply the numerators 5 × 4 = 20
Step 2: Multiply the denominators 16 × 7 = 112
Step 3: Write the answer The result is: 20/112
Simplifying the Fraction
We can simplify the fraction 20/112 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 20 and 112 is 4. So, we can divide both numbers by 4:
20 ÷ 4 = 5 112 ÷ 4 = 28
The simplified fraction is: 5/28
Therefore, the result of multiplying 5/16 and 4/7 is 5/28.
