What is 21\div (1 3/4 \times 2 2/9) ?

The solution to 21\div (1 3/4 \times 2 2/9) is 5 2/5

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21\div (1 3/4 \times 2 2/9)

21 \div (1 \frac{3}{4} \times 2 \frac{2}{9})

5 \frac{2}{5}

Solution steps

21 \div (1 \frac{3}{4} \times 2 \frac{2}{9})

Convert mixed numbers to improper fractions:

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

= 21 \div (\frac{7}{4} \times 2 \frac{2}{9})

Convert mixed numbers to improper fractions:

2 \frac{2}{9} = \frac{20}{9}

= 21 \div (\frac{7}{4} \times \frac{20}{9})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{7}{4} \times \frac{20}{9}) : \frac{35}{9}

= 21 \div \frac{35}{9}

Multiply and divide (left to right)

21 \div \frac{35}{9} : \frac{27}{5}

= \frac{27}{5}

Convert improper fractions to mixed numbers:

\frac{27}{5} = 5 \frac{2}{5}

= 5 \frac{2}{5}

1 0^{5} \div 2^{4}

\frac{2 \cdot ( - 2 ) + 1}{2}

((104 - 38) \div 104) \times 290

8 \div 2^{2}

- 0^{2} + 3

What is 21\div (1 3/4 \times 2 2/9) ?
The solution to 21\div (1 3/4 \times 2 2/9) is 5 2/5