What is 3\times (2+4^3)\div 4 ?

The solution to 3\times (2+4^3)\div 4 is 49 1/2

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Popular >

3\times (2+4^3)\div 4

Solution

3 \times (2 + 4^{3}) \div 4

Solution

49 \frac{1}{2}

Solution steps

3 \times (2 + 4^{3}) \div 4

Follow the PEMDAS order of operations

Calculate within parentheses

(2 + 4^{3}) : 66

2 + 4^{3}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 2 + 64

Add and subtract (left to right)

2 + 64 : 66

2 + 64

2 + 64 = 66

= 66

= 66

= 3 \times 66 \div 4

Multiply and divide (left to right)

3 \times 66 \div 4 : \frac{198}{4}

3 \times 66 \div 4

3 \times 66 = 198

= 198 \div 4

198 \div 4 = \frac{198}{4}

= \frac{198}{4}

= \frac{198}{4}

Simplify

\frac{198}{4} : 49 \frac{1}{2}

Cancel the common factor:

2

= \frac{99}{2}

Convert improper fractions to mixed numbers:

\frac{99}{2} = 49 \frac{1}{2}

\frac{99}{2} = 49

Remainder

1

\frac{99}{2}

Write the problem in long division format

2 \overline{∣ 99}

Divide

9

2

to get

4

Divide

9

2

to get

4

4 2 \overline{∣ 99}

Multiply the quotient digit

(4)

by the divisor

2

4 2 \overline{∣ 99} \underline{8}

Subtract

8

from

9

4 2 \overline{∣ 99} \underline{8} 1

Bring down the next number of the dividend

4 2 \overline{∣ 99} \underline{8} 19

4 2 \overline{∣ 99} \underline{8} 19

Divide

19

2

to get

9

Divide

19

2

to get

9

49 2 \overline{∣ 99} \underline{8} 19

Multiply the quotient digit

(9)

by the divisor

2

49 2 \overline{∣ 99} \underline{8} 19 \underline{18}

Subtract

18

from

19

49 2 \overline{∣ 99} \underline{8} 19 \underline{18} 1

49 2 \overline{∣ 99} \underline{8} 19 \underline{18} 1

The solution for Long Division of

\frac{99}{2}

49

with remainder of

1

49 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{99}{2} = 49 \frac{1}{2}

= 49 \frac{1}{2}

= 49 \frac{1}{2}

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(- 2 + 9) \times (- 6 - 4) \div (6 - 1)

Frequently Asked Questions (FAQ)

What is 3\times (2+4^3)\div 4 ?
The solution to 3\times (2+4^3)\div 4 is 49 1/2