High School

Multiply or divide the fractions. Show all work.

1. \(\frac{12}{25}\) times \(\frac{15}{18}\).

2. \(\frac{12}{25}\) divided by \(\frac{15}{18}\).

3. \(6\frac{3}{4}\) times \(1\frac{2}{5}\).

4. \(4\frac{1}{6}\) divided by \(1\frac{2}{3}\).

Answer :

The required solution for the given arithmetic problems are,
A) 2/5
B) 72 / 125
C) 6, 3/4, 12/5, and 3/10
D) 4, 1/6 and 6

A) 12/25 times 15/18.
Division of two fractions performed as multiplication of numerator of one fraction with a denominator of another function over a denominator of one function with a numerator of another function.
= 12 / 25 * 15 / 18 = 2 / 5

Similarly

b) 12/25 divided by 15/18.
= [12 / 25 ] / 15 / 18
= 12 / 25 * 18 / 15
= 72 / 125

C) 6 and 3/4 times 1 and 2/5
6 * 1 = 6
3 / 4 * 1 = 3/4
6 * 2/5 = 12/5
3/4 * 2/5 = 3 / 10

D) 4 and 1/6 divided by 1 and 2/3.
= 4 / 1 = 4
= 1/6 / 1 = 1/6
= 4 / 2/3 = 6
= 1/6 / 2/3 = 1/4

Thus, the required solution for the given arithmetic problems is mentioned above.

Learn more about arithmetic here:

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