What is ((10-15)^2)/(15) ?

The solution to ((10-15)^2)/(15) is 1 2/3

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Popular >

((10-15)^2)/(15)

Solution

\frac{( 10 - 15 ) ^{2}}{15}

Solution

1 \frac{2}{3}

Solution steps

\frac{( 10 - 15 ) ^{2}}{15}

Solve

(10 - 15)^{2} : 25

Follow the PEMDAS order of operations

Calculate within parentheses

(10 - 15) : - 5

10 - 15

10 - 15 = - 5

= - 5

= (- 5)^{2}

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 25

= \frac{25}{15}

Simplify

\frac{25}{15} : 1 \frac{2}{3}

Cancel the common factor:

5

= \frac{5}{3}

Convert improper fractions to mixed numbers:

\frac{5}{3} = 1 \frac{2}{3}

\frac{5}{3} = 1

Remainder

2

\frac{5}{3}

Write the problem in long division format

3 \overline{∣ 5}

Divide

5

3

to get

1

Divide

5

3

to get

1

1 3 \overline{∣ 5}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 5} \underline{3}

Subtract

3

from

5

1 3 \overline{∣ 5} \underline{3} 2

1 3 \overline{∣ 5} \underline{3} 2

The solution for Long Division of

\frac{5}{3}

1

with remainder of

2

1 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{5}{3} = 1 \frac{2}{3}

= 1 \frac{2}{3}

= 1 \frac{2}{3}

= 1 \frac{2}{3}

Popular Examples

1/3+2-1/2-5/6

\frac{1}{3} + 2 - \frac{1}{2} - \frac{5}{6}

(90\div 6)\times (-5+(-4(3-8)-(12-3)+4))

(90 \div 6) \times (- 5 + (- 4 (3 - 8) - (12 - 3) + 4))

(2-5)(2+3)

(2 - 5) (2 + 3)

5^2+3\times 5

5^{2} + 3 \times 5

10*4^2

10 \cdot 4^{2}

Frequently Asked Questions (FAQ)

What is ((10-15)^2)/(15) ?
The solution to ((10-15)^2)/(15) is 1 2/3