Perform the indicated operation. Make sure your final answer is in lowest terms.
3/10 divided 3/8=
3/10 divided 3/8=
(3/10) * (8/3) = 24/30 = 4/5
To divide fractions, we need to follow these steps:
Step 1: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
Step 2: The reciprocal of a fraction is obtained by swapping the numerator and denominator.
Step 3: Simplify the resulting fraction, if possible, by cancelling out any common factors between the numerator and denominator.
Let's apply these steps to the given problem:
3/10 ÷ 3/8
Step 1: Multiply the first fraction by the reciprocal of the second fraction:
3/10 × 8/3
Step 2: Simplify the fraction by cancelling out any common factors:
In this case, we can divide both the numerator and the denominator by 3:
(3/10) × (8/3) = (1/10) × (8/1) = 8/10
Step 3: Further simplify the fraction by cancelling out any common factors:
We can divide both the numerator and the denominator by their greatest common divisor, which is 2:
8/10 = (8 ÷ 2)/(10 ÷ 2) = 4/5
Therefore, 3/10 ÷ 3/8 = 4/5 in lowest terms.