What is [(15/20)*(5/19)]/(5/19) ?

The solution to [(15/20)*(5/19)]/(5/19) is 3/4

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[(15/20)*(5/19)]/(5/19)

[(15/20) \cdot (5/19)] / (5/19)

\frac{3}{4}

Solution steps

[(15/20) (5/19)] / (5/19)

Follow the PEMDAS order of operations

Calculate within parentheses

[(15/20) \cdot (5/19)] : \frac{15}{76}

(15/20) (5/19)

Calculate within parentheses

(15/20) : \frac{15}{20}

15/20

15/20 = \frac{15}{20}

= \frac{15}{20}

= \frac{15}{20} (5/19)

Calculate within parentheses

(5/19) : \frac{5}{19}

5/19

5/19 = \frac{5}{19}

= \frac{5}{19}

= \frac{15}{20} \cdot \frac{5}{19}

Multiply and divide (left to right)

\frac{15}{20} \cdot \frac{5}{19} : \frac{15}{76}

\frac{15}{20} \cdot \frac{5}{19}

Cancel

\frac{15}{20} : \frac{3}{4}

\frac{15}{20}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3}{20}

Factor the number:

20 = 5 \cdot 4

= \frac{5 \cdot 3}{5 \cdot 4}

Cancel the common factor:

5

= \frac{3}{4}

= \frac{3}{4} \cdot \frac{5}{19}

\frac{3}{4} \cdot \frac{5}{19} = \frac{15}{76}

\frac{3}{4} \cdot \frac{5}{19}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 5}{4 \cdot 19}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{15}{4 \cdot 19}

Multiply the numbers:

4 \cdot 19 = 76

= \frac{15}{76}

= \frac{15}{76}

= \frac{15}{76}

= \frac{15}{76} / (5/19)

Calculate within parentheses

(5/19) : \frac{5}{19}

5/19

5/19 = \frac{5}{19}

= \frac{5}{19}

= \frac{15}{76} / \frac{5}{19}

Multiply and divide (left to right)

\frac{15}{76} / \frac{5}{19} : \frac{3}{4}

\frac{15}{76} / \frac{5}{19}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{15}{76} \cdot \frac{19}{5}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{15 \cdot 19}{76 \cdot 5}

Multiply the numbers:

15 \cdot 19 = 285

= \frac{285}{76 \cdot 5}

Multiply the numbers:

76 \cdot 5 = 380

= \frac{285}{380}

Cancel the common factor:

95

= \frac{3}{4}

= \frac{3}{4}

2 \times (24) \div 6 + (8 - 5) \div (- 3) - 6

- 4^{2} - (- 2) + 4

3 (7) + 10 (5)

1 2^{2} + 2 3^{2}

(9 - 3) \div (2 - 1)

What is [(15/20)*(5/19)]/(5/19) ?
The solution to [(15/20)*(5/19)]/(5/19) is 3/4