What is (65 5/11-64)× 16 ?

The solution to (65 5/11-64)× 16 is 23 3/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

(65 5/11-64)× 16

Solution

(65 \frac{5}{11} - 64) \cdot 16

Solution

23 \frac{3}{11}

Decimal

23.27272 \dots

Solution steps

(65 \frac{5}{11} - 64) \cdot 16

Convert mixed numbers to improper fractions:

65 \frac{5}{11} = \frac{720}{11}

65 \frac{5}{11}

Convert mixed numbers to improper fraction:

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

65 \frac{5}{11} = \frac{65 \cdot 11 + 5}{11}

= \frac{720}{11}

= (\frac{720}{11} - 64) \cdot 16

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{720}{11} - 64) : \frac{16}{11}

\frac{720}{11} - 64

\frac{720}{11} - 64 = \frac{16}{11}

\frac{720}{11} - 64

Convert element to fraction:

64 = \frac{64 \cdot 11}{11}

= - \frac{64 \cdot 11}{11} + \frac{720}{11}

Since the denominators are equal, combine the fractions:

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

= \frac{- 64 \cdot 11 + 720}{11}

- 64 \cdot 11 + 720 = 16

- 64 \cdot 11 + 720

Multiply the numbers:

64 \cdot 11 = 704

= - 704 + 720

Add/Subtract the numbers:

- 704 + 720 = 16

= 16

= \frac{16}{11}

= \frac{16}{11}

= \frac{16}{11} \cdot 16

Multiply and divide (left to right)

\frac{16}{11} \cdot 16 : \frac{256}{11}

\frac{16}{11} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= \frac{16}{11} \cdot \frac{16}{1}

Apply the fraction rule:

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

= \frac{16 \cdot 16}{11 \cdot 1}

Multiply the numbers:

16 \cdot 16 = 256

= \frac{256}{11 \cdot 1}

Multiply the numbers:

11 \cdot 1 = 11

= \frac{256}{11}

= \frac{256}{11}

Convert improper fractions to mixed numbers:

\frac{256}{11} = 23 \frac{3}{11}

\frac{256}{11} = 23

Remainder

3

\frac{256}{11}

Write the problem in long division format

11 \overline{∣ 256}

Divide

25

11

to get

2

Divide

25

11

to get

2

2 11 \overline{∣ 256}

Multiply the quotient digit

(2)

by the divisor

11

2 11 \overline{∣ 256} \underline{22}

Subtract

22

from

25

2 11 \overline{∣ 256} \underline{22} 3

Bring down the next number of the dividend

2 11 \overline{∣ 256} \underline{22} 36

2 11 \overline{∣ 256} \underline{22} 36

Divide

36

11

to get

3

Divide

36

11

to get

3

23 11 \overline{∣ 256} \underline{22} 36

Multiply the quotient digit

(3)

by the divisor

11

23 11 \overline{∣ 256} \underline{22} 36 \underline{33}

Subtract

33

from

36

23 11 \overline{∣ 256} \underline{22} 36 \underline{33} 3

23 11 \overline{∣ 256} \underline{22} 36 \underline{33} 3

The solution for Long Division of

\frac{256}{11}

23

with remainder of

3

23 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{256}{11} = 23 \frac{3}{11}

= 23 \frac{3}{11}

= 23 \frac{3}{11}

Popular Examples

5+(-3)-(-2)+(4-6)-[3-(6-4)]

Frequently Asked Questions (FAQ)

What is (65 5/11-64)× 16 ?
The solution to (65 5/11-64)× 16 is 23 3/11

(65 5/11-64)× 16

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (65 5/11-64)× 16 ?

Popular topics