What is 80+1/3 (40) ?

The solution to 80+1/3 (40) is 93 1/3

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Popular >

80+1/3 (40)

Solution

80 + \frac{1}{3} (40)

Solution

93 \frac{1}{3}

Solution steps

80 + \frac{1}{3} (40)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} (40) : \frac{40}{3}

\frac{1}{3} (40)

Apply rule:

(a) = a

(40) = 40

= \frac{1}{3} \cdot 40

\frac{1}{3} \cdot 40 = \frac{40}{3}

\frac{1}{3} \cdot 40

Convert element to fraction:

40 = \frac{40}{1}

= \frac{1}{3} \cdot \frac{40}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 40}{3 \cdot 1}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{40}{3}

= \frac{40}{3}

= 80 + \frac{40}{3}

Add and subtract (left to right)

80 + \frac{40}{3} : \frac{280}{3}

80 + \frac{40}{3}

80 + \frac{40}{3} = \frac{280}{3}

80 + \frac{40}{3}

Convert element to fraction:

80 = \frac{80 \cdot 3}{3}

= \frac{80 \cdot 3}{3} + \frac{40}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{80 \cdot 3 + 40}{3}

80 \cdot 3 + 40 = 280

80 \cdot 3 + 40

Multiply the numbers:

80 \cdot 3 = 240

= 240 + 40

Add the numbers:

240 + 40 = 280

= 280

= \frac{280}{3}

= \frac{280}{3}

= \frac{280}{3}

Convert improper fractions to mixed numbers:

\frac{280}{3} = 93 \frac{1}{3}

\frac{280}{3} = 93

Remainder

1

\frac{280}{3}

Write the problem in long division format

3 \overline{∣ 280}

Divide

28

3

to get

9

Divide

28

3

to get

9

9 3 \overline{∣ 280}

Multiply the quotient digit

(9)

by the divisor

3

9 3 \overline{∣ 280} \underline{27}

Subtract

27

from

28

9 3 \overline{∣ 280} \underline{27} 1

Bring down the next number of the dividend

9 3 \overline{∣ 280} \underline{27} 10

9 3 \overline{∣ 280} \underline{27} 10

Divide

10

3

to get

3

Divide

10

3

to get

3

93 3 \overline{∣ 280} \underline{27} 10

Multiply the quotient digit

(3)

by the divisor

3

93 3 \overline{∣ 280} \underline{27} 10 \underline{9}

Subtract

9

from

10

93 3 \overline{∣ 280} \underline{27} 10 \underline{9} 1

93 3 \overline{∣ 280} \underline{27} 10 \underline{9} 1

The solution for Long Division of

\frac{280}{3}

93

with remainder of

1

93 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{280}{3} = 93 \frac{1}{3}

= 93 \frac{1}{3}

= 93 \frac{1}{3}

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0 + 1 - 0 + 3

3(3)^2-6

3 (3)^{2} - 6

136+(-150)-(-14)+0

136 + (- 150) - (- 14) + 0

Frequently Asked Questions (FAQ)

What is 80+1/3 (40) ?
The solution to 80+1/3 (40) is 93 1/3