What is 33\div 4\times 2\div 11 ?

The solution to 33\div 4\times 2\div 11 is 1 1/2

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33\div 4\times 2\div 11

Solution

33 \div 4 \times 2 \div 11

Solution

1 \frac{1}{2}

Solution steps

33 \div 4 \times 2 \div 11

Follow the PEMDAS order of operations

Multiply and divide (left to right)

33 \div 4 = \frac{33}{4}

= \frac{33}{4} \times 2 \div 11

\frac{33}{4} \times 2 = \frac{33}{2}

\frac{33}{4} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{33}{4} \cdot \frac{2}{1}

Apply the fraction rule:

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

= \frac{33 \cdot 2}{4 \cdot 1}

\frac{33 \cdot 2}{4 \cdot 1} = \frac{33}{2}

\frac{33 \cdot 2}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{33 \cdot 2}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{33 \cdot 2}{2 \cdot 2}

Cancel the common factor:

2

= \frac{33}{2}

= \frac{33}{2}

= \frac{33}{2} \div 11

\frac{33}{2} \div 11 = \frac{3}{2}

\frac{33}{2} \div 11

Convert element to fraction:

11 = \frac{11}{1}

= \frac{33}{2} \div \frac{11}{1}

Apply the fraction rule:

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

= \frac{33}{2} \cdot \frac{1}{11}

Cross-cancel common factor:

11

= \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}

Popular Examples

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- 2 (1)^{3} + 3 (1)^{2}

(2^2+2)/(3^2+2)

\frac{2 ^{2} + 2}{3 ^{2} + 2}

10\div 3-5\div 8

10 \div 3 - 5 \div 8

3(-5)^2-4

3 (- 5)^{2} - 4

3(3)^2-4(3)+1

3 (3)^{2} - 4 (3) + 1

Frequently Asked Questions (FAQ)

What is 33\div 4\times 2\div 11 ?
The solution to 33\div 4\times 2\div 11 is 1 1/2