perform the indicated operation and if
possible,simplify
please show all of your work. write your
answer in lowest terms.
18/35 divided by 22/25
18/35 divided by 22/25
(18/25) * (25/22) = 450/550 = 45/55 = 9/11
To divide fractions, you need to follow these steps:
Step 1: Flip the second fraction (the divisor) upside down to find its reciprocal.
Step 2: Multiply the first fraction (the dividend) by the reciprocal of the second fraction.
Step 3: Simplify the resulting fraction if possible.
Given:
Fraction 1: 18/35
Fraction 2: 22/25
Step 1: Find the reciprocal of the second fraction:
Reciprocal of 22/25 = 25/22
Step 2: Multiply the first fraction by the reciprocal of the second fraction:
(18/35) * (25/22)
To multiply fractions, simply multiply the numerators together and the denominators together:
(18 * 25) / (35 * 22) = 450 / 770
Step 3: Simplify the resulting fraction:
To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 450 and 770 is 10.
(450 ÷ 10) / (770 ÷ 10) = 45/77
Therefore, 18/35 divided by 22/25 simplifies to 45/77 in lowest terms.