What is 3/2+3/4+11/4 ?

The solution to 3/2+3/4+11/4 is 5

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Popular >

3/2+3/4+11/4

Solution

3/2 + 3/4 + 11/4

Solution

5

Solution steps

3/2 + 3/4 + 11/4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3/2 : \frac{3}{2}

3/2

3/2 = \frac{3}{2}

= \frac{3}{2}

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

Multiply and divide (left to right)

3/4 : \frac{3}{4}

3/4

3/4 = \frac{3}{4}

= \frac{3}{4}

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

Multiply and divide (left to right)

11/4 : \frac{11}{4}

11/4

11/4 = \frac{11}{4}

= \frac{11}{4}

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

Add and subtract (left to right)

\frac{3}{2} + \frac{3}{4} + \frac{11}{4} : 5

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

\frac{3}{2} + \frac{3}{4} = \frac{9}{4}

\frac{3}{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{3}{2} :

multiply the denominator and numerator by

2

\frac{3}{2} = \frac{3 \cdot 2}{2 \cdot 2} = \frac{6}{4}

= \frac{6}{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{6 + 3}{4}

Add the numbers:

6 + 3 = 9

= \frac{9}{4}

= \frac{9}{4} + \frac{11}{4}

\frac{9}{4} + \frac{11}{4} = 5

\frac{9}{4} + \frac{11}{4}

Apply rule

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

= \frac{9 + 11}{4}

Add the numbers:

9 + 11 = 20

= \frac{20}{4}

Divide the numbers:

\frac{20}{4} = 5

= 5

= 5

= 5

Popular Examples

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2 \cdot 3 - 3

3^4-4(3)^3

3^{4} - 4 (3)^{3}

560\div 10-18+15

560 \div 10 - 18 + 15

4+4*7

4 + 4 \cdot 7

(7-16)-(21-27)

(7 - 16) - (21 - 27)

Frequently Asked Questions (FAQ)

What is 3/2+3/4+11/4 ?
The solution to 3/2+3/4+11/4 is 5