What is 1+(-2)\times (-2/7) ?

The solution to 1+(-2)\times (-2/7) is 1 4/7

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Popular >

1+(-2)\times (-2/7)

Solution

1 + (- 2) \cdot (- \frac{2}{7})

Solution

1 \frac{4}{7}

Solution steps

1 + (- 2) (- \frac{2}{7})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(- 2) (- \frac{2}{7}) : \frac{4}{7}

(- 2) (- \frac{2}{7})

Apply rule

(- a) \cdot (- b) = a \cdot b

(- 2) (- \frac{2}{7}) = 2 \cdot \frac{2}{7}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{2}{7}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 2}{1 \cdot 7}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{4}{7}

= 1 + \frac{4}{7}

Add and subtract (left to right)

1 + \frac{4}{7} : \frac{11}{7}

1 + \frac{4}{7}

1 + \frac{4}{7} = \frac{11}{7}

1 + \frac{4}{7}

Convert element to fraction:

1 = \frac{1 \cdot 7}{7}

= \frac{1 \cdot 7}{7} + \frac{4}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 7 + 4}{7}

1 \cdot 7 + 4 = 11

1 \cdot 7 + 4

Multiply the numbers:

1 \cdot 7 = 7

= 7 + 4

Add the numbers:

7 + 4 = 11

= 11

= \frac{11}{7}

= \frac{11}{7}

= \frac{11}{7}

Convert improper fractions to mixed numbers:

\frac{11}{7} = 1 \frac{4}{7}

\frac{11}{7} = 1

Remainder

4

\frac{11}{7}

Write the problem in long division format

7 \overline{∣ 11}

Divide

11

7

to get

1

Divide

11

7

to get

1

1 7 \overline{∣ 11}

Multiply the quotient digit

(1)

by the divisor

7

1 7 \overline{∣ 11} \underline{7}

Subtract

7

from

11

1 7 \overline{∣ 11} \underline{7} 4

1 7 \overline{∣ 11} \underline{7} 4

The solution for Long Division of

\frac{11}{7}

1

with remainder of

4

1 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{11}{7} = 1 \frac{4}{7}

= 1 \frac{4}{7}

= 1 \frac{4}{7}

Popular Examples

-3(2)^24

- 3 (2)^{2} 4

2+5-3\times 2+10-10\div 5

2 + 5 - 3 \times 2 + 10 - 10 \div 5

(-2-8)/(-4+5)

\frac{- 2 - 8}{- 4 + 5}

simplify (9/2510)/(25)simplify

\frac{\frac{9}{2510}}{25}

-1+(5/6-2)\div (2-1/4)

- 1 + (\frac{5}{6} - 2) \div (2 - \frac{1}{4})

Frequently Asked Questions (FAQ)

What is 1+(-2)\times (-2/7) ?
The solution to 1+(-2)\times (-2/7) is 1 4/7