Simplify: 9/40 divided by 1/5 times 3/8
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(9/40)/(1/5) * 3/8 =
Dividing by a fraction is the same as multiplying by its inverse.
(9/40) * 5 * 3/8 = ?
Carry on.
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To simplify the expression (9/40) ÷ (1/5) × (3/8), we can follow the order of operations, which is parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Step 1: Simplify the division (9/40) ÷ (1/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(9/40) ÷ (1/5) = (9/40) × (5/1) = (9 × 5) / (40 × 1) = 45/40.
Step 2: Multiply the result from Step 1 by (3/8).
To multiply fractions, multiply the numerators together and the denominators together.
(45/40) × (3/8) = (45 × 3) / (40 × 8) = 135/320.
Therefore, the simplified expression is 135/320.