What is (2 3/4+1 1/4)+5 2/4 ?

The solution to (2 3/4+1 1/4)+5 2/4 is 9 1/2

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Popular >

(2 3/4+1 1/4)+5 2/4

Solution

(2 \frac{3}{4} + 1 \frac{1}{4}) + 5 \frac{2}{4}

Solution

9 \frac{1}{2}

Solution steps

(2 \frac{3}{4} + 1 \frac{1}{4}) + 5 \frac{2}{4}

Convert mixed numbers to improper fractions:

5 \frac{2}{4} = \frac{22}{4}

5 \frac{2}{4}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

5 \frac{2}{4} = \frac{5 \cdot 4 + 2}{4}

= \frac{22}{4}

= (2 \frac{3}{4} + 1 \frac{1}{4}) + \frac{22}{4}

Convert mixed numbers to improper fractions:

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

2 \frac{3}{4}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

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

= \frac{11}{4}

= (\frac{11}{4} + 1 \frac{1}{4}) + \frac{22}{4}

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

1 \frac{1}{4}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

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

= \frac{5}{4}

= (\frac{11}{4} + \frac{5}{4}) + \frac{22}{4}

\frac{22}{4} = \frac{11}{2}

Cancel the common factor:

2

\frac{11}{2}

= \frac{11}{4} + \frac{5}{4} + \frac{11}{2}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{11}{4} + \frac{5}{4} + \frac{11}{2} : \frac{19}{2}

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

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

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

Apply rule

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

= \frac{11 + 5}{4}

Add the numbers:

11 + 5 = 16

= \frac{16}{4}

Divide the numbers:

\frac{16}{4} = 4

= 4

= 4 + \frac{11}{2}

4 + \frac{11}{2} = \frac{19}{2}

4 + \frac{11}{2}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

4 \cdot 2 + 11 = 19

4 \cdot 2 + 11

Multiply the numbers:

4 \cdot 2 = 8

= 8 + 11

Add the numbers:

8 + 11 = 19

= 19

= \frac{19}{2}

= \frac{19}{2}

= \frac{19}{2}

Convert improper fractions to mixed numbers:

\frac{19}{2} = 9 \frac{1}{2}

\frac{19}{2} = 9

Remainder

1

\frac{19}{2}

Write the problem in long division format

2 \overline{∣ 19}

Divide

19

2

to get

9

Divide

19

2

to get

9

9 2 \overline{∣ 19}

Multiply the quotient digit

(9)

by the divisor

2

9 2 \overline{∣ 19} \underline{18}

Subtract

18

from

19

9 2 \overline{∣ 19} \underline{18} 1

9 2 \overline{∣ 19} \underline{18} 1

The solution for Long Division of

\frac{19}{2}

9

with remainder of

1

9 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{19}{2} = 9 \frac{1}{2}

= 9 \frac{1}{2}

= 9 \frac{1}{2}

Popular Examples

13+(-21)+16

13 + (- 21) + 16

(9/9-3/5)+5-8\div (3)

(\frac{9}{9} - \frac{3}{5}) + 5 - 8 \div (3)

12/18 \div ((-1)/2+3/8)

\frac{12}{18} \div (\frac{- 1}{2} + \frac{3}{8})

3(2/3+5/6)-1/2

3 (\frac{2}{3} + \frac{5}{6}) - \frac{1}{2}

20-8+2^2*3

20 - 8 + 2^{2} \cdot 3

Frequently Asked Questions (FAQ)

What is (2 3/4+1 1/4)+5 2/4 ?
The solution to (2 3/4+1 1/4)+5 2/4 is 9 1/2