What is 2+(3/5 \div 1/2) ?

The solution to 2+(3/5 \div 1/2) is 3 1/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2+(3/5 \div 1/2)

Solution

2 + (\frac{3}{5} \div \frac{1}{2})

Solution

3 \frac{1}{5}

Solution steps

2 + (\frac{3}{5} \div \frac{1}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{5} \div \frac{1}{2}) : \frac{6}{5}

\frac{3}{5} \div \frac{1}{2}

Multiply and divide (left to right)

Apply the fraction rule:

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

= \frac{3}{5} \cdot \frac{2}{1}

Multiply fractions:

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

= \frac{3 \cdot 2}{5 \cdot 1}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{6}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{6}{5}

= 2 + \frac{6}{5}

Add and subtract (left to right)

2 + \frac{6}{5} : \frac{16}{5}

2 + \frac{6}{5}

2 + \frac{6}{5} = \frac{16}{5}

2 + \frac{6}{5}

Convert element to fraction:

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

= \frac{2 \cdot 5}{5} + \frac{6}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 5 + 6}{5}

2 \cdot 5 + 6 = 16

2 \cdot 5 + 6

Multiply the numbers:

2 \cdot 5 = 10

= 10 + 6

Add the numbers:

10 + 6 = 16

= 16

= \frac{16}{5}

= \frac{16}{5}

= \frac{16}{5}

Convert improper fractions to mixed numbers:

\frac{16}{5} = 3 \frac{1}{5}

\frac{16}{5} = 3

Remainder

1

\frac{16}{5}

Write the problem in long division format

5 \overline{∣ 16}

Divide

16

5

to get

3

Divide

16

5

to get

3

3 5 \overline{∣ 16}

Multiply the quotient digit

(3)

by the divisor

5

3 5 \overline{∣ 16} \underline{15}

Subtract

15

from

16

3 5 \overline{∣ 16} \underline{15} 1

3 5 \overline{∣ 16} \underline{15} 1

The solution for Long Division of

\frac{16}{5}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{16}{5} = 3 \frac{1}{5}

= 3 \frac{1}{5}

= 3 \frac{1}{5}

Popular Examples

21+3-4*4-5*3

21 + 3 - 4 \cdot 4 - 5 \cdot 3

3(-3)+2

3 (- 3) + 2

(7-5)4+3(4-2)+(8-2)5-2(11-10)

(7 - 5) 4 + 3 (4 - 2) + (8 - 2) 5 - 2 (11 - 10)

6/2(2+1)

6/2 (2 + 1)

(607-388)\times 8-92514\div 102

(607 - 388) \times 8 - 92514 \div 102

Frequently Asked Questions (FAQ)

What is 2+(3/5 \div 1/2) ?
The solution to 2+(3/5 \div 1/2) is 3 1/5