What is 9+1/4-1/2+3 ?

The solution to 9+1/4-1/2+3 is 11 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

9+1/4-1/2+3

Solution

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

Solution

11 \frac{3}{4}

Decimal

11.75

Solution steps

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

Follow the PEMDAS order of operations

Add and subtract (left to right)

9 + \frac{1}{4} = \frac{37}{4}

9 + \frac{1}{4}

Convert element to fraction:

9 = \frac{9 \cdot 4}{4}

= \frac{9 \cdot 4}{4} + \frac{1}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{9 \cdot 4 + 1}{4}

9 \cdot 4 + 1 = 37

9 \cdot 4 + 1

Multiply the numbers:

9 \cdot 4 = 36

= 36 + 1

Add the numbers:

36 + 1 = 37

= 37

= \frac{37}{4}

= \frac{37}{4} - \frac{1}{2} + 3

\frac{37}{4} - \frac{1}{2} = \frac{35}{4}

\frac{37}{4} - \frac{1}{2}

Least Common Multiplier of

4, 2 : 4

4, 2

Least Common Multiplier (LCM)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

4

2

= 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{1}{2} :

multiply the denominator and numerator by

2

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

= \frac{37}{4} - \frac{2}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{37 - 2}{4}

Subtract the numbers:

37 - 2 = 35

= \frac{35}{4}

= \frac{35}{4} + 3

\frac{35}{4} + 3 = \frac{47}{4}

\frac{35}{4} + 3

Convert element to fraction:

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

= \frac{3 \cdot 4}{4} + \frac{35}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 4 + 35}{4}

3 \cdot 4 + 35 = 47

3 \cdot 4 + 35

Multiply the numbers:

3 \cdot 4 = 12

= 12 + 35

Add the numbers:

12 + 35 = 47

= 47

= \frac{47}{4}

= \frac{47}{4}

Convert improper fractions to mixed numbers:

\frac{47}{4} = 11 \frac{3}{4}

\frac{47}{4} = 11

Remainder

3

\frac{47}{4}

Write the problem in long division format

4 \overline{∣ 47}

Divide

4

4

to get

1

Divide

4

4

to get

1

1 4 \overline{∣ 47}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 47} \underline{4}

Subtract

4

from

4

1 4 \overline{∣ 47} \underline{4} 0

Bring down the next number of the dividend

1 4 \overline{∣ 47} \underline{4} 07

1 4 \overline{∣ 47} \underline{4} 07

Divide

7

4

to get

1

Divide

7

4

to get

1

11 4 \overline{∣ 47} \underline{4} 07

Multiply the quotient digit

(1)

by the divisor

4

11 4 \overline{∣ 47} \underline{4} 07 \underline{4}

Subtract

4

from

7

11 4 \overline{∣ 47} \underline{4} 07 \underline{4} 3

11 4 \overline{∣ 47} \underline{4} 07 \underline{4} 3

The solution for Long Division of

\frac{47}{4}

11

with remainder of

3

11 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{47}{4} = 11 \frac{3}{4}

= 11 \frac{3}{4}

= 11 \frac{3}{4}

Popular Examples

-27(35-29)-(-80+40-20)

-1+(-1)+(-1)

(-2)× (-5+3)-(-4+7)× (+4-1)

5× 12-2

2^{66}+2^{66}

Frequently Asked Questions (FAQ)

What is 9+1/4-1/2+3 ?
The solution to 9+1/4-1/2+3 is 11 3/4

9+1/4-1/2+3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 9+1/4-1/2+3 ?

Popular topics