What is 8-(2/5)(-7/9) ?

The solution to 8-(2/5)(-7/9) is 8 14/45

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Popular >

8-(2/5)(-7/9)

Solution

8 - (\frac{2}{5}) (- \frac{7}{9})

Solution

8 \frac{14}{45}

Solution steps

8 - (\frac{2}{5}) (- \frac{7}{9})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

(\frac{2}{5}) (- \frac{7}{9}) : - \frac{14}{45}

(\frac{2}{5}) (- \frac{7}{9})

Apply rule

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

(\frac{2}{5}) (- \frac{7}{9}) = - \frac{2}{5} \cdot \frac{7}{9}

Apply the fraction rule:

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

\frac{2}{5} \cdot \frac{7}{9} = \frac{2 \cdot 7}{5 \cdot 9}

= - \frac{2 \cdot 7}{5 \cdot 9}

Multiply the numbers:

2 \cdot 7 = 14

= - \frac{14}{5 \cdot 9}

Multiply the numbers:

5 \cdot 9 = 45

= - \frac{14}{45}

= 8 - (- \frac{14}{45})

Add and subtract (left to right)

8 - (- \frac{14}{45}) : \frac{374}{45}

8 - (- \frac{14}{45})

Apply rule

- (- a) = + a

- (- \frac{14}{45}) = + \frac{14}{45}

= 8 + \frac{14}{45}

8 + \frac{14}{45} = \frac{374}{45}

8 + \frac{14}{45}

Convert element to fraction:

8 = \frac{8 \cdot 45}{45}

= \frac{8 \cdot 45}{45} + \frac{14}{45}

Since the denominators are equal, combine the fractions:

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

= \frac{8 \cdot 45 + 14}{45}

8 \cdot 45 + 14 = 374

8 \cdot 45 + 14

Multiply the numbers:

8 \cdot 45 = 360

= 360 + 14

Add the numbers:

360 + 14 = 374

= 374

= \frac{374}{45}

= \frac{374}{45}

= \frac{374}{45}

Convert improper fractions to mixed numbers:

\frac{374}{45} = 8 \frac{14}{45}

\frac{374}{45} = 8

Remainder

14

\frac{374}{45}

Write the problem in long division format

45 \overline{∣ 374}

Divide

374

45

to get

8

Divide

374

45

to get

8

8 45 \overline{∣ 374}

Multiply the quotient digit

(8)

by the divisor

45

8 45 \overline{∣ 374} \underline{360}

Subtract

360

from

374

8 45 \overline{∣ 374} \underline{360} 14

8 45 \overline{∣ 374} \underline{360} 14

The solution for Long Division of

\frac{374}{45}

8

with remainder of

14

8 Remainder 14

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{374}{45} = 8 \frac{14}{45}

= 8 \frac{14}{45}

= 8 \frac{14}{45}

Popular Examples

6*3\div 2+5*8*0

6 \cdot 3 \div 2 + 5 \cdot 8 \cdot 0

7/16+(5/8-3/4)

\frac{7}{16} + (\frac{5}{8} - \frac{3}{4})

7-8-1+11-3

7 - 8 - 1 + 11 - 3

(2-1/3)\times 3

(2 - \frac{1}{3}) \times 3

-3-8-4+11-3-2

- 3 - 8 - 4 + 11 - 3 - 2

Frequently Asked Questions (FAQ)

What is 8-(2/5)(-7/9) ?
The solution to 8-(2/5)(-7/9) is 8 14/45