What is ((11+42-5))/((11-4)) ?

The solution to ((11+42-5))/((11-4)) is 6 6/7

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((11+42-5))/((11-4))

\frac{( 11 + 42 - 5 )}{( 11 - 4 )}

6 \frac{6}{7}

Solution steps

\frac{( 11 + 42 - 5 )}{( 11 - 4 )}

Solve

(11 + 42 - 5) : 48

Follow the PEMDAS order of operations

Calculate within parentheses

Add and subtract (left to right)

11 + 42 = 53

= 53 - 5

53 - 5 = 48

= 48

Solve

(11 - 4) : 7

Follow the PEMDAS order of operations

11 - 4 = 7

= 7

= \frac{48}{7}

Convert improper fractions to mixed numbers:

\frac{48}{7} = 6 \frac{6}{7}

\frac{48}{7} = 6

Remainder

6

\frac{48}{7}

Write the problem in long division format

7 \overline{∣ 48}

Divide

48

7

to get

6

Divide

48

7

to get

6

6 7 \overline{∣ 48}

Multiply the quotient digit

(6)

by the divisor

7

6 7 \overline{∣ 48} \underline{42}

Subtract

42

from

48

6 7 \overline{∣ 48} \underline{42} 6

6 7 \overline{∣ 48} \underline{42} 6

The solution for Long Division of

\frac{48}{7}

6

with remainder of

6

6 Remainder 6

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{48}{7} = 6 \frac{6}{7}

= 6 \frac{6}{7}

= 6 \frac{6}{7}

0.5 \cdot 3

(10 + 2 - 2) \cdot 6 - 1

\frac{72}{12}

(- 2 + 1)^{2} + 5 (\frac{12}{3}) - 9

\frac{15}{25}