Dividing Fractions: 1/5 ÷ 3/10 in Simplest Form
When dividing fractions, we need to follow a specific rule to get the correct result. In this article, we will explore how to divide 1/5 by 3/10 and simplify the result.
The Rule of Dividing Fractions
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply. The formula for dividing fractions is:
a/b ÷ c/d = ad/bc
In our case, we want to divide 1/5 by 3/10. Let's apply the formula:
1/5 ÷ 3/10 = ?
Inverting the Second Fraction
First, we need to invert the second fraction, 3/10. This means we flip the numerator and denominator:
3/10 = 10/3
Multiplying the Fractions
Now, we can multiply the two fractions:
1/5 × 10/3 = ?
To multiply fractions, we multiply the numerators and multiply the denominators:
(1 × 10) / (5 × 3) 10/15
Simplifying the Result
Our result, 10/15, can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 10 and 15 is 5. Divide both numbers by 5:
10 ÷ 5 = 2 15 ÷ 5 = 3
So, the simplified result is:
2/3
Therefore, 1/5 divided by 3/10 is equal to 2/3 in simplest form.
