What is 2 5/14 \div (2-5/8) ?

The solution to 2 5/14 \div (2-5/8) is 1 5/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 5/14 \div (2-5/8)

Solution

2 \frac{5}{14} \div (2 - \frac{5}{8})

Solution

1 \frac{5}{7}

Solution steps

2 \frac{5}{14} \div (2 - \frac{5}{8})

Convert mixed numbers to improper fractions:

2 \frac{5}{14} = \frac{33}{14}

2 \frac{5}{14}

Convert mixed numbers to improper fraction:

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

2 \frac{5}{14} = \frac{2 \cdot 14 + 5}{14}

= \frac{33}{14}

= \frac{33}{14} \div (2 - \frac{5}{8})

Follow the PEMDAS order of operations

Calculate within parentheses

(2 - \frac{5}{8}) : \frac{11}{8}

2 - \frac{5}{8}

2 - \frac{5}{8} = \frac{11}{8}

2 - \frac{5}{8}

Convert element to fraction:

2 = \frac{2 \cdot 8}{8}

= \frac{2 \cdot 8}{8} - \frac{5}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 8 - 5}{8}

2 \cdot 8 - 5 = 11

2 \cdot 8 - 5

Multiply the numbers:

2 \cdot 8 = 16

= 16 - 5

Subtract the numbers:

16 - 5 = 11

= 11

= \frac{11}{8}

= \frac{11}{8}

= \frac{33}{14} \div \frac{11}{8}

Multiply and divide (left to right)

\frac{33}{14} \div \frac{11}{8} : \frac{12}{7}

\frac{33}{14} \div \frac{11}{8}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{33}{14} \cdot \frac{8}{11}

Multiply fractions:

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

= \frac{33 \cdot 8}{14 \cdot 11}

Multiply the numbers:

33 \cdot 8 = 264

= \frac{264}{14 \cdot 11}

Multiply the numbers:

14 \cdot 11 = 154

= \frac{264}{154}

Cancel the common factor:

22

= \frac{12}{7}

= \frac{12}{7}

Convert improper fractions to mixed numbers:

\frac{12}{7} = 1 \frac{5}{7}

\frac{12}{7} = 1

Remainder

5

\frac{12}{7}

Write the problem in long division format

7 \overline{∣ 12}

Divide

12

7

to get

1

Divide

12

7

to get

1

1 7 \overline{∣ 12}

Multiply the quotient digit

(1)

by the divisor

7

1 7 \overline{∣ 12} \underline{7}

Subtract

7

from

12

1 7 \overline{∣ 12} \underline{7} 5

1 7 \overline{∣ 12} \underline{7} 5

The solution for Long Division of

\frac{12}{7}

1

with remainder of

5

1 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{12}{7} = 1 \frac{5}{7}

= 1 \frac{5}{7}

= 1 \frac{5}{7}

Popular Examples

2*11^2

2 \cdot 1 1^{2}

1+1-3

1 + 1 - 3

3(2/5)-2(2/3)

3 (2/5) - 2 (2/3)

5(4-5)2+3(5-1)-2(1+2)2(2)+2(3)(4)

5 (4 - 5) 2 + 3 (5 - 1) - 2 (1 + 2) 2 (2) + 2 (3) (4)

3(0)^2-8(0)+3

3 (0)^{2} - 8 (0) + 3

Frequently Asked Questions (FAQ)

What is 2 5/14 \div (2-5/8) ?
The solution to 2 5/14 \div (2-5/8) is 1 5/7