What is 74\div 14-3*[10-2(8-3)] ?

The solution to 74\div 14-3*[10-2(8-3)] is 5 2/7

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Popular >

74\div 14-3*[10-2(8-3)]

Solution

74 \div 14 - 3 \cdot [10 - 2 (8 - 3)]

Solution

5 \frac{2}{7}

Solution steps

74 \div 14 - 3 [10 - 2 (8 - 3)]

Follow the PEMDAS order of operations

Calculate within parentheses

[10 - 2 (8 - 3)] : 0

10 - 2 (8 - 3)

Calculate within parentheses

(8 - 3) : 5

8 - 3

8 - 3 = 5

= 5

= 10 - 2 \cdot 5

Multiply and divide (left to right)

2 \cdot 5 : 10

2 \cdot 5

2 \cdot 5 = 10

= 10

= 10 - 10

Add and subtract (left to right)

10 - 10 : 0

10 - 10

10 - 10 = 0

= 0

= 0

= 74 \div 14 - 3 \cdot 0

Multiply and divide (left to right)

74 \div 14 : \frac{74}{14}

74 \div 14

74 \div 14 = \frac{74}{14}

= \frac{74}{14}

= \frac{74}{14} - 3 \cdot 0

Multiply and divide (left to right)

3 \cdot 0 : 0

3 \cdot 0

3 \cdot 0 = 0

= 0

= \frac{74}{14} - 0

Add and subtract (left to right)

\frac{74}{14} - 0 : \frac{37}{7}

\frac{74}{14} - 0

\frac{74}{14} - 0 = \frac{37}{7}

\frac{74}{14} - 0

Cancel

\frac{74}{14} : \frac{37}{7}

\frac{74}{14}

Cancel the common factor:

2

= \frac{37}{7}

= \frac{37}{7} - 0

\frac{37}{7} - 0 = \frac{37}{7}

= \frac{37}{7}

= \frac{37}{7}

= \frac{37}{7}

Convert improper fractions to mixed numbers:

\frac{37}{7} = 5 \frac{2}{7}

\frac{37}{7} = 5

Remainder

2

\frac{37}{7}

Write the problem in long division format

7 \overline{∣ 37}

Divide

37

7

to get

5

Divide

37

7

to get

5

5 7 \overline{∣ 37}

Multiply the quotient digit

(5)

by the divisor

7

5 7 \overline{∣ 37} \underline{35}

Subtract

35

from

37

5 7 \overline{∣ 37} \underline{35} 2

5 7 \overline{∣ 37} \underline{35} 2

The solution for Long Division of

\frac{37}{7}

5

with remainder of

2

5 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{37}{7} = 5 \frac{2}{7}

= 5 \frac{2}{7}

= 5 \frac{2}{7}

Popular Examples

63^2+12^2+11^2

6 3^{2} + 1 2^{2} + 1 1^{2}

60\div 2+7

60 \div 2 + 7

4(4)-1

4 (4) - 1

4(2)^5

4 (2)^{5}

(5+1)^3

(5 + 1)^{3}

Frequently Asked Questions (FAQ)

What is 74\div 14-3*[10-2(8-3)] ?
The solution to 74\div 14-3*[10-2(8-3)] is 5 2/7