The solution to 3+1/2-3/4 is 2 3/4

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3+1/2-3/4

Solution

3 + \frac{1}{2} - \frac{3}{4}

Solution

2 \frac{3}{4}

Solution steps

3 + \frac{1}{2} - \frac{3}{4}

Follow the PEMDAS order of operations

Add and subtract (left to right)

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

3 + \frac{1}{2}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

3 \cdot 2 + 1 = 7

3 \cdot 2 + 1

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 1

Add the numbers:

6 + 1 = 7

= 7

= \frac{7}{2}

= \frac{7}{2} - \frac{3}{4}

\frac{7}{2} - \frac{3}{4} = \frac{11}{4}

\frac{7}{2} - \frac{3}{4}

Least Common Multiplier of

2, 4 : 4

2, 4

Least Common Multiplier (LCM)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Multiply each factor the greatest number of times it occurs in either

2

4

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

4

For

\frac{7}{2} :

multiply the denominator and numerator by

2

\frac{7}{2} = \frac{7 \cdot 2}{2 \cdot 2} = \frac{14}{4}

= \frac{14}{4} - \frac{3}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{14 - 3}{4}

Subtract the numbers:

14 - 3 = 11

= \frac{11}{4}

= \frac{11}{4}

Convert improper fractions to mixed numbers:

\frac{11}{4} = 2 \frac{3}{4}

\frac{11}{4} = 2

Remainder

3

\frac{11}{4}

Write the problem in long division format

4 \overline{∣ 11}

Divide

11

4

to get

2

Divide

11

4

to get

2

2 4 \overline{∣ 11}

Multiply the quotient digit

(2)

by the divisor

4

2 4 \overline{∣ 11} \underline{8}

Subtract

8

from

11

2 4 \overline{∣ 11} \underline{8} 3

2 4 \overline{∣ 11} \underline{8} 3

The solution for Long Division of

\frac{11}{4}

2

with remainder of

3

2 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{11}{4} = 2 \frac{3}{4}

= 2 \frac{3}{4}

= 2 \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is 3+1/2-3/4 ?
The solution to 3+1/2-3/4 is 2 3/4

3+1/2-3/4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3+1/2-3/4 ?