en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

65\div 35× 40

Solution

65 \div 35 \times 40

Solution

74 \frac{2}{7}

+1

Decimal

74.28571 \dots

Solution steps

65 \div 35 \times 40

Follow the PEMDAS order of operations

Multiply and divide (left to right)

65 \div 35 = \frac{65}{35}

= \frac{65}{35} \times 40

\frac{65}{35} \times 40 = \frac{520}{7}

\frac{65}{35} \cdot 40

Cancel

\frac{65}{35} : \frac{13}{7}

\frac{65}{35}

Factor the number:

65 = 5 \cdot 13

= \frac{5 \cdot 13}{35}

Factor the number:

35 = 5 \cdot 7

= \frac{5 \cdot 13}{5 \cdot 7}

Cancel the common factor:

5

= \frac{13}{7}

= \frac{13}{7} \cdot 40

\frac{13}{7} \cdot 40 = \frac{520}{7}

\frac{13}{7} \cdot 40

Convert element to fraction:

40 = \frac{40}{1}

= \frac{13}{7} \cdot \frac{40}{1}

Apply the fraction rule:

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

= \frac{13 \cdot 40}{7 \cdot 1}

Multiply the numbers:

13 \cdot 40 = 520

= \frac{520}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{520}{7}

= \frac{520}{7}

= \frac{520}{7}

Convert improper fractions to mixed numbers:

\frac{520}{7} = 74 \frac{2}{7}

\frac{520}{7} = 74

Remainder

2

\frac{520}{7}

Write the problem in long division format

7 \overline{∣ 520}

Divide

52

by

7

to get

7

Divide

52

by

7

to get

7

7 7 \overline{∣ 520}

Multiply the quotient digit

(7)

by the divisor

7

7 7 \overline{∣ 520} \underline{49}

Subtract

49

from

52

7 7 \overline{∣ 520} \underline{49} 3

Bring down the next number of the dividend

7 7 \overline{∣ 520} \underline{49} 30

7 7 \overline{∣ 520} \underline{49} 30

Divide

30

by

7

to get

4

Divide

30

by

7

to get

4

74 7 \overline{∣ 520} \underline{49} 30

Multiply the quotient digit

(4)

by the divisor

7

74 7 \overline{∣ 520} \underline{49} 30 \underline{28}

Subtract

28

from

30

74 7 \overline{∣ 520} \underline{49} 30 \underline{28} 2

74 7 \overline{∣ 520} \underline{49} 30 \underline{28} 2

The solution for Long Division of

\frac{520}{7}

is

74

with remainder of

2

74 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{520}{7} = 74 \frac{2}{7}

= 74 \frac{2}{7}

= 74 \frac{2}{7}

Popular Examples

5(4^2+2)-36\div 12

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

Frequently Asked Questions (FAQ)

What is 65\div 35× 40 ?
The solution to 65\div 35× 40 is 74 2/7

Popular topics

imaginary number calculator ratio test calculator asymptote calculator remainder calculator linear approximation calculator rational equation calculator absolute value calculator riemann sum calculator acceleration calculator area between curves calculator domain and range calculator sequence calculator integration by parts calculator slope intercept form calculator eigenvector calculator trig identities calculator power series calculator transformation calculator hours calculator parabola calculator percentage calculator average rate of change calculator age calculator volume calculator chain rule calculator concavity calculator row echelon form calculator p value calculator end behavior calculator fourier transform calculator trinomial calculator factor by grouping calculator improper integral calculator rational number calculator multiplying polynomials calculator variable calculator pemdas calculator pythagorean theorem calculator function calculator u substitution calculator