What is 15+6\div 4^2-3^2 ?

The solution to 15+6\div 4^2-3^2 is 6 3/8

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Popular >

15+6\div 4^2-3^2

Solution

15 + 6 \div 4^{2} - 3^{2}

Solution

6 \frac{3}{8}

Solution steps

15 + 6 \div 4^{2} - 3^{2}

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 15 + 6 \div 16 - 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 15 + 6 \div 16 - 9

Multiply and divide (left to right)

6 \div 16 : \frac{6}{16}

6 \div 16

6 \div 16 = \frac{6}{16}

= \frac{6}{16}

= 15 + \frac{6}{16} - 9

Add and subtract (left to right)

15 + \frac{6}{16} - 9 : \frac{51}{8}

15 + \frac{6}{16} - 9

15 + \frac{6}{16} = \frac{123}{8}

15 + \frac{6}{16}

Cancel

\frac{6}{16} : \frac{3}{8}

\frac{6}{16}

Cancel the common factor:

2

= \frac{3}{8}

= 15 + \frac{3}{8}

Convert element to fraction:

15 = \frac{15 \cdot 8}{8}

= \frac{15 \cdot 8}{8} + \frac{3}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{15 \cdot 8 + 3}{8}

15 \cdot 8 + 3 = 123

15 \cdot 8 + 3

Multiply the numbers:

15 \cdot 8 = 120

= 120 + 3

Add the numbers:

120 + 3 = 123

= 123

= \frac{123}{8}

= \frac{123}{8} - 9

\frac{123}{8} - 9 = \frac{51}{8}

\frac{123}{8} - 9

Convert element to fraction:

9 = \frac{9 \cdot 8}{8}

= - \frac{9 \cdot 8}{8} + \frac{123}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{- 9 \cdot 8 + 123}{8}

- 9 \cdot 8 + 123 = 51

- 9 \cdot 8 + 123

Multiply the numbers:

9 \cdot 8 = 72

= - 72 + 123

Add/Subtract the numbers:

- 72 + 123 = 51

= 51

= \frac{51}{8}

= \frac{51}{8}

= \frac{51}{8}

Convert improper fractions to mixed numbers:

\frac{51}{8} = 6 \frac{3}{8}

\frac{51}{8} = 6

Remainder

3

\frac{51}{8}

Write the problem in long division format

8 \overline{∣ 51}

Divide

51

8

to get

6

Divide

51

8

to get

6

6 8 \overline{∣ 51}

Multiply the quotient digit

(6)

by the divisor

8

6 8 \overline{∣ 51} \underline{48}

Subtract

48

from

51

6 8 \overline{∣ 51} \underline{48} 3

6 8 \overline{∣ 51} \underline{48} 3

The solution for Long Division of

\frac{51}{8}

6

with remainder of

3

6 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{51}{8} = 6 \frac{3}{8}

= 6 \frac{3}{8}

= 6 \frac{3}{8}

Popular Examples

13^2-10^2

1 3^{2} - 1 0^{2}

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2^{24} - 2

2(-2)^3+2

2 (- 2)^{3} + 2

5^2-8\times 2+12

5^{2} - 8 \times 2 + 12

Frequently Asked Questions (FAQ)

What is 15+6\div 4^2-3^2 ?
The solution to 15+6\div 4^2-3^2 is 6 3/8