What is 1\div (2\div 3) ?

The solution to 1\div (2\div 3) is 1 1/2

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1\div (2\div 3)

1 \div (2 \div 3)

1 \frac{1}{2}

Solution steps

1 \div (2 \div 3)

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \div 3) : \frac{2}{3}

2 \div 3

2 \div 3 = \frac{2}{3}

= \frac{2}{3}

= 1 \div \frac{2}{3}

Multiply and divide (left to right)

1 \div \frac{2}{3} : \frac{3}{2}

1 \div \frac{2}{3}

Convert element to fraction:

1 = \frac{1}{1}

= \frac{1}{1} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{1}{1} \cdot \frac{3}{2}

Apply rule

\frac{a}{a} = 1

\frac{1}{1} = 1

= 1 \cdot \frac{3}{2}

Multiply:

1 \cdot \frac{3}{2} = \frac{3}{2}

= \frac{3}{2}

= \frac{3}{2}

Convert improper fractions to mixed numbers:

\frac{3}{2} = 1 \frac{1}{2}

\frac{3}{2} = 1

Remainder

1

\frac{3}{2}

Write the problem in long division format

2 \overline{∣ 3}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 3}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 3} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 3} \underline{2} 1

1 2 \overline{∣ 3} \underline{2} 1

The solution for Long Division of

\frac{3}{2}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{3}{2} = 1 \frac{1}{2}

= 1 \frac{1}{2}

= 1 \frac{1}{2}

(6)^{2} - 7 (6) + 9

(11 + 6)^{2}

6 \times (2 + (- 7 \times (- 2) - 7) \times (- 5))

(7^{2} \cdot 7^{2}) + (1 0^{4} \div 1 0^{2})

17 \div 12 - 13 \div 6