Division of Fractions: 5/6 ÷ 10 as a Fraction
In this article, we will explore how to divide a fraction by a whole number, specifically 5/6 divided by 10 as a fraction.
What is Division of Fractions?
Division of fractions is a mathematical operation that involves dividing one fraction by another. In this case, we want to divide 5/6 by 10. To do this, we need to understand the concept of reciprocal.
Reciprocal of a Number
The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 10 is 1/10.
Dividing 5/6 by 10
To divide 5/6 by 10, we can rewrite the division as a multiplication problem. We can do this by multiplying 5/6 by the reciprocal of 10, which is 1/10.
The Calculation
Let's perform the calculation:
(5/6) × (1/10) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(5 × 1) / (6 × 10) = ?
This gives us:
5/60
Simplifying the Fraction
We can simplify the fraction 5/60 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5.
5 ÷ 5 = 1 60 ÷ 5 = 12
So, the simplified fraction is:
1/12
The Answer
Therefore, 5/6 divided by 10 as a fraction is 1/12.
