What is (21/1)/1 3/4 ?

The solution to (21/1)/1 3/4 is 12

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Simplify (21/1)÷1 3/4

(21/1) /1 \frac{3}{4}

12

Solution steps

(21/1) /1 \frac{3}{4}

Convert mixed numbers to improper fractions:

1 \frac{3}{4} = \frac{7}{4}

1 \frac{3}{4}

Convert mixed numbers to improper fraction:

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

1 \frac{3}{4} = \frac{1 \cdot 4 + 3}{4}

= \frac{7}{4}

= (21/1) / \frac{7}{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(21/1) : 21

21/1

21/1 = 21

= 21

= 21/ \frac{7}{4}

Multiply and divide (left to right)

21/ \frac{7}{4} : 12

21/ \frac{7}{4}

Convert element to fraction:

21 = \frac{21}{1}

= \frac{21}{1} \div \frac{7}{4}

Apply the fraction rule:

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

= \frac{21}{1} \cdot \frac{4}{7}

Cross-cancel common factor:

7

= \frac{3}{1} \cdot \frac{4}{1}

Multiply fractions:

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

= \frac{3 \cdot 4}{1 \cdot 1}

Multiply the numbers:

3 \cdot 4 = 12

= \frac{12}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{12}{1}

Apply rule

\frac{a}{1} = a

= 12

= 12

\frac{22}{3}

6.375

\frac{108}{8}

- 0.625

13 \cdot 17