Dividing Fractions: 1/8 ÷ 3/10 as a Fraction
When dividing fractions, we need to follow some simple rules to get the correct result. In this article, we will explore how to divide 1/8 by 3/10 as a fraction.
The Division Rule
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply. The general rule is:
a/b ÷ c/d = (a/b) × (d/c)
Applying the Rule
Let's apply the rule to our problem: 1/8 ÷ 3/10. First, we need to invert the second fraction (3/10):
3/10 = 10/3 ( flipped numerator and denominator)
Now, we can multiply the two fractions:
1/8 × 10/3 = ?
Simplifying the Result
To multiply fractions, we multiply the numerators (1 × 10 = 10) and multiply the denominators (8 × 3 = 24). Then, we write the result as a fraction:
10/24
Simplifying Further
We can simplify the fraction 10/24 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 2. This gives us:
5/12
The Final Answer
Therefore, 1/8 divided by 3/10 as a fraction is equal to:
5/12
By following the rules of dividing fractions, we have successfully solved the problem and obtained the result in its simplest form.
