What is 85-(2/3 \times 65) ?

The solution to 85-(2/3 \times 65) is 41 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

85-(2/3 \times 65)

Solution

85 - (\frac{2}{3} \cdot 65)

Solution

41 \frac{2}{3}

Solution steps

85 - (\frac{2}{3} \cdot 65)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{2}{3} \cdot 65) : \frac{130}{3}

\frac{2}{3} \cdot 65

\frac{2}{3} \cdot 65 = \frac{130}{3}

\frac{2}{3} \cdot 65

Convert element to fraction:

65 = \frac{65}{1}

= \frac{2}{3} \cdot \frac{65}{1}

Multiply fractions:

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

= \frac{2 \cdot 65}{3 \cdot 1}

Multiply the numbers:

2 \cdot 65 = 130

= \frac{130}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{130}{3}

= \frac{130}{3}

= 85 - \frac{130}{3}

Add and subtract (left to right)

85 - \frac{130}{3} : \frac{125}{3}

85 - \frac{130}{3}

85 - \frac{130}{3} = \frac{125}{3}

85 - \frac{130}{3}

Convert element to fraction:

85 = \frac{85 \cdot 3}{3}

= \frac{85 \cdot 3}{3} - \frac{130}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{85 \cdot 3 - 130}{3}

85 \cdot 3 - 130 = 125

85 \cdot 3 - 130

Multiply the numbers:

85 \cdot 3 = 255

= 255 - 130

Subtract the numbers:

255 - 130 = 125

= 125

= \frac{125}{3}

= \frac{125}{3}

= \frac{125}{3}

Convert improper fractions to mixed numbers:

\frac{125}{3} = 41 \frac{2}{3}

\frac{125}{3} = 41

Remainder

2

\frac{125}{3}

Write the problem in long division format

3 \overline{∣ 125}

Divide

12

3

to get

4

Divide

12

3

to get

4

4 3 \overline{∣ 125}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 125} \underline{12}

Subtract

12

from

12

4 3 \overline{∣ 125} \underline{12} 0

Bring down the next number of the dividend

4 3 \overline{∣ 125} \underline{12} 05

4 3 \overline{∣ 125} \underline{12} 05

Divide

5

3

to get

1

Divide

5

3

to get

1

41 3 \overline{∣ 125} \underline{12} 05

Multiply the quotient digit

(1)

by the divisor

3

41 3 \overline{∣ 125} \underline{12} 05 \underline{3}

Subtract

3

from

5

41 3 \overline{∣ 125} \underline{12} 05 \underline{3} 2

41 3 \overline{∣ 125} \underline{12} 05 \underline{3} 2

The solution for Long Division of

\frac{125}{3}

41

with remainder of

2

41 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{125}{3} = 41 \frac{2}{3}

= 41 \frac{2}{3}

= 41 \frac{2}{3}

Popular Examples

30+5\times 3

30 + 5 \times 3

3(-3)^2+2(-3)-8

3 (- 3)^{2} + 2 (- 3) - 8

2(4+3-2)+(-5)+3(7-2)

2 (4 + 3 - 2) + (- 5) + 3 (7 - 2)

-1/2 (1)-2

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

-2^3-4(-2)

- 2^{3} - 4 (- 2)

Frequently Asked Questions (FAQ)

What is 85-(2/3 \times 65) ?
The solution to 85-(2/3 \times 65) is 41 2/3