What is 1/2+15\div 3+(4^2+3) ?

The solution to 1/2+15\div 3+(4^2+3) is 24 1/2

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1/2+15\div 3+(4^2+3)

Solution

\frac{1}{2} + 15 \div 3 + (4^{2} + 3)

Solution

24 \frac{1}{2}

Solution steps

\frac{1}{2} + 15 \div 3 + (4^{2} + 3)

Follow the PEMDAS order of operations

Calculate within parentheses

(4^{2} + 3) : 19

4^{2} + 3

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 16 + 3

Add and subtract (left to right)

16 + 3 : 19

16 + 3

16 + 3 = 19

= 19

= 19

= \frac{1}{2} + 15 \div 3 + 19

Multiply and divide (left to right)

15 \div 3 : 5

15 \div 3

15 \div 3 = 5

= 5

= \frac{1}{2} + 5 + 19

Add and subtract (left to right)

\frac{1}{2} + 5 + 19 : \frac{49}{2}

\frac{1}{2} + 5 + 19

\frac{1}{2} + 5 = \frac{11}{2}

\frac{1}{2} + 5

Convert element to fraction:

5 = \frac{5 \cdot 2}{2}

= \frac{5 \cdot 2}{2} + \frac{1}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 \cdot 2 + 1}{2}

5 \cdot 2 + 1 = 11

5 \cdot 2 + 1

Multiply the numbers:

5 \cdot 2 = 10

= 10 + 1

Add the numbers:

10 + 1 = 11

= 11

= \frac{11}{2}

= \frac{11}{2} + 19

\frac{11}{2} + 19 = \frac{49}{2}

\frac{11}{2} + 19

Convert element to fraction:

19 = \frac{19 \cdot 2}{2}

= \frac{19 \cdot 2}{2} + \frac{11}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{19 \cdot 2 + 11}{2}

19 \cdot 2 + 11 = 49

19 \cdot 2 + 11

Multiply the numbers:

19 \cdot 2 = 38

= 38 + 11

Add the numbers:

38 + 11 = 49

= 49

= \frac{49}{2}

= \frac{49}{2}

= \frac{49}{2}

Convert improper fractions to mixed numbers:

\frac{49}{2} = 24 \frac{1}{2}

\frac{49}{2} = 24

Remainder

1

\frac{49}{2}

Write the problem in long division format

2 \overline{∣ 49}

Divide

4

2

to get

2

Divide

4

2

to get

2

2 2 \overline{∣ 49}

Multiply the quotient digit

(2)

by the divisor

2

2 2 \overline{∣ 49} \underline{4}

Subtract

4

from

4

2 2 \overline{∣ 49} \underline{4} 0

Bring down the next number of the dividend

2 2 \overline{∣ 49} \underline{4} 09

2 2 \overline{∣ 49} \underline{4} 09

Divide

9

2

to get

4

Divide

9

2

to get

4

24 2 \overline{∣ 49} \underline{4} 09

Multiply the quotient digit

(4)

by the divisor

2

24 2 \overline{∣ 49} \underline{4} 09 \underline{8}

Subtract

8

from

9

24 2 \overline{∣ 49} \underline{4} 09 \underline{8} 1

24 2 \overline{∣ 49} \underline{4} 09 \underline{8} 1

The solution for Long Division of

\frac{49}{2}

24

with remainder of

1

24 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{49}{2} = 24 \frac{1}{2}

= 24 \frac{1}{2}

= 24 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/2+15\div 3+(4^2+3) ?
The solution to 1/2+15\div 3+(4^2+3) is 24 1/2