What is 5/12+((2)\div (4/8)-3) ?

The solution to 5/12+((2)\div (4/8)-3) is 1 5/12

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Popular Pre Algebra >

5/12+((2)\div (4/8)-3)

Solution

\frac{5}{12} + ((2) \div (\frac{4}{8}) - 3)

Solution

1 \frac{5}{12}

Decimal

1.41666 \dots

Solution steps

\frac{5}{12} + ((2) \div (\frac{4}{8}) - 3)

\frac{4}{8} = \frac{1}{2}

Cancel the common factor:

4

\frac{1}{2}

= \frac{5}{12} + 2 \div \frac{1}{2} - 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \div \frac{1}{2} : 4

2 \div \frac{1}{2}

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

Apply rule

\frac{a}{1} = a

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= \frac{5}{12} + 4 - 3

Add and subtract (left to right)

\frac{5}{12} + 4 - 3 : \frac{17}{12}

\frac{5}{12} + 4 - 3

\frac{5}{12} + 4 = \frac{53}{12}

\frac{5}{12} + 4

Convert element to fraction:

4 = \frac{4 \cdot 12}{12}

= \frac{4 \cdot 12}{12} + \frac{5}{12}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 12 + 5}{12}

4 \cdot 12 + 5 = 53

4 \cdot 12 + 5

Multiply the numbers:

4 \cdot 12 = 48

= 48 + 5

Add the numbers:

48 + 5 = 53

= 53

= \frac{53}{12}

= \frac{53}{12} - 3

\frac{53}{12} - 3 = \frac{17}{12}

\frac{53}{12} - 3

Convert element to fraction:

3 = \frac{3 \cdot 12}{12}

= - \frac{3 \cdot 12}{12} + \frac{53}{12}

Since the denominators are equal, combine the fractions:

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

= \frac{- 3 \cdot 12 + 53}{12}

- 3 \cdot 12 + 53 = 17

- 3 \cdot 12 + 53

Multiply the numbers:

3 \cdot 12 = 36

= - 36 + 53

Add/Subtract the numbers:

- 36 + 53 = 17

= 17

= \frac{17}{12}

= \frac{17}{12}

= \frac{17}{12}

Convert improper fractions to mixed numbers:

\frac{17}{12} = 1 \frac{5}{12}

\frac{17}{12} = 1

Remainder

5

\frac{17}{12}

Write the problem in long division format

12 \overline{∣ 17}

Divide

17

12

to get

1

Divide

17

12

to get

1

1 12 \overline{∣ 17}

Multiply the quotient digit

(1)

by the divisor

12

1 12 \overline{∣ 17} \underline{12}

Subtract

12

from

17

1 12 \overline{∣ 17} \underline{12} 5

1 12 \overline{∣ 17} \underline{12} 5

The solution for Long Division of

\frac{17}{12}

1

with remainder of

5

1 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{17}{12} = 1 \frac{5}{12}

= 1 \frac{5}{12}

= 1 \frac{5}{12}

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10^2+10^3

(2)^2-2

3(-2)-2

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4*5^2

Frequently Asked Questions (FAQ)

What is 5/12+((2)\div (4/8)-3) ?
The solution to 5/12+((2)\div (4/8)-3) is 1 5/12

5/12+((2)\div (4/8)-3)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 5/12+((2)\div (4/8)-3) ?

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