What is 1\div 1/2+1/7 ?

The solution to 1\div 1/2+1/7 is 2 1/7

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Popular >

1\div 1/2+1/7

Solution

1 \div \frac{1}{2} + \frac{1}{7}

Solution

2 \frac{1}{7}

Solution steps

1 \div \frac{1}{2} + \frac{1}{7}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

1 \div \frac{1}{2} : 2

1 \div \frac{1}{2}

Convert element to fraction:

1 = \frac{1}{1}

= \frac{1}{1} \div \frac{1}{2}

Apply the fraction rule:

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

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

Apply rule

\frac{a}{a} = 1

\frac{1}{1} = 1

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

Apply rule

\frac{a}{1} = a

= 1 \cdot 2

Multiply the numbers:

1 \cdot 2 = 2

= 2

= 2 + \frac{1}{7}

Add and subtract (left to right)

2 + \frac{1}{7} : \frac{15}{7}

2 + \frac{1}{7}

2 + \frac{1}{7} = \frac{15}{7}

2 + \frac{1}{7}

Convert element to fraction:

2 = \frac{2 \cdot 7}{7}

= \frac{2 \cdot 7}{7} + \frac{1}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 7 + 1}{7}

2 \cdot 7 + 1 = 15

2 \cdot 7 + 1

Multiply the numbers:

2 \cdot 7 = 14

= 14 + 1

Add the numbers:

14 + 1 = 15

= 15

= \frac{15}{7}

= \frac{15}{7}

= \frac{15}{7}

Convert improper fractions to mixed numbers:

\frac{15}{7} = 2 \frac{1}{7}

\frac{15}{7} = 2

Remainder

1

\frac{15}{7}

Write the problem in long division format

7 \overline{∣ 15}

Divide

15

7

to get

2

Divide

15

7

to get

2

2 7 \overline{∣ 15}

Multiply the quotient digit

(2)

by the divisor

7

2 7 \overline{∣ 15} \underline{14}

Subtract

14

from

15

2 7 \overline{∣ 15} \underline{14} 1

2 7 \overline{∣ 15} \underline{14} 1

The solution for Long Division of

\frac{15}{7}

2

with remainder of

1

2 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15}{7} = 2 \frac{1}{7}

= 2 \frac{1}{7}

= 2 \frac{1}{7}

Popular Examples

2^8\times 15+2^8

2^{8} \times 15 + 2^{8}

(8-12)-(2-5)

(8 - 12) - (2 - 5)

(5+10\times 5)\div 5

(5 + 10 \times 5) \div 5

(15-7)+(6-1)-(9-6)+(19+8)-(3-1)+(4+5)

(15 - 7) + (6 - 1) - (9 - 6) + (19 + 8) - (3 - 1) + (4 + 5)

(2^2-2-2)/(2-2)

\frac{2 ^{2} - 2 - 2}{2 - 2}

Frequently Asked Questions (FAQ)

What is 1\div 1/2+1/7 ?
The solution to 1\div 1/2+1/7 is 2 1/7