What is (6-1/6)\times 1 ?

The solution to (6-1/6)\times 1 is 5 5/6

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(6-1/6)\times 1

(6 - \frac{1}{6}) \cdot 1

5 \frac{5}{6}

Solution steps

(6 - \frac{1}{6}) \cdot 1

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - \frac{1}{6}) : \frac{35}{6}

6 - \frac{1}{6}

6 - \frac{1}{6} = \frac{35}{6}

6 - \frac{1}{6}

Convert element to fraction:

6 = \frac{6 \cdot 6}{6}

= \frac{6 \cdot 6}{6} - \frac{1}{6}

Since the denominators are equal, combine the fractions:

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

= \frac{6 \cdot 6 - 1}{6}

6 \cdot 6 - 1 = 35

6 \cdot 6 - 1

Multiply the numbers:

6 \cdot 6 = 36

= 36 - 1

Subtract the numbers:

36 - 1 = 35

= 35

= \frac{35}{6}

= \frac{35}{6}

= \frac{35}{6} \cdot 1

Multiply and divide (left to right)

\frac{35}{6} \cdot 1 : \frac{35}{6}

\frac{35}{6} \cdot 1

\frac{35}{6} \cdot 1 = \frac{35}{6}

= \frac{35}{6}

= \frac{35}{6}

Convert improper fractions to mixed numbers:

\frac{35}{6} = 5 \frac{5}{6}

\frac{35}{6} = 5

Remainder

5

\frac{35}{6}

Write the problem in long division format

6 \overline{∣ 35}

Divide

35

6

to get

5

Divide

35

6

to get

5

5 6 \overline{∣ 35}

Multiply the quotient digit

(5)

by the divisor

6

5 6 \overline{∣ 35} \underline{30}

Subtract

30

from

35

5 6 \overline{∣ 35} \underline{30} 5

5 6 \overline{∣ 35} \underline{30} 5

The solution for Long Division of

\frac{35}{6}

5

with remainder of

5

5 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{35}{6} = 5 \frac{5}{6}

= 5 \frac{5}{6}

= 5 \frac{5}{6}

4 (- 3)^{4}

10 - 7 \times (- 2) + 12 \div (4 + 1 \times 2)

+ \frac{5}{9} (68 - 32)

150 + 1500 - 400

2 (- 2)^{2} + 8 (- 2) - 4