What is (8+3/4)+4 1/5 ?

The solution to (8+3/4)+4 1/5 is 12 19/20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

(8+3/4)+4 1/5

Solution

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

Solution

12 \frac{19}{20}

Decimal

12.95

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{1}{5} = \frac{21}{5}

4 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{21}{5}

= (8 + \frac{3}{4}) + \frac{21}{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(8 + \frac{3}{4}) : \frac{35}{4}

8 + \frac{3}{4}

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

8 + \frac{3}{4}

Convert element to fraction:

8 = \frac{8 \cdot 4}{4}

= \frac{8 \cdot 4}{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{8 \cdot 4 + 3}{4}

8 \cdot 4 + 3 = 35

8 \cdot 4 + 3

Multiply the numbers:

8 \cdot 4 = 32

= 32 + 3

Add the numbers:

32 + 3 = 35

= 35

= \frac{35}{4}

= \frac{35}{4}

= \frac{35}{4} + \frac{21}{5}

Add and subtract (left to right)

\frac{35}{4} + \frac{21}{5} : \frac{259}{20}

\frac{35}{4} + \frac{21}{5}

\frac{35}{4} + \frac{21}{5} = \frac{259}{20}

\frac{35}{4} + \frac{21}{5}

Least Common Multiplier of

4, 5 : 20

4, 5

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

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

4

5

= 2 \cdot 2 \cdot 5

Multiply the numbers:

2 \cdot 2 \cdot 5 = 20

= 20

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

20

For

\frac{35}{4} :

multiply the denominator and numerator by

5

\frac{35}{4} = \frac{35 \cdot 5}{4 \cdot 5} = \frac{175}{20}

For

\frac{21}{5} :

multiply the denominator and numerator by

4

\frac{21}{5} = \frac{21 \cdot 4}{5 \cdot 4} = \frac{84}{20}

= \frac{175}{20} + \frac{84}{20}

Since the denominators are equal, combine the fractions:

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

= \frac{175 + 84}{20}

Add the numbers:

175 + 84 = 259

= \frac{259}{20}

= \frac{259}{20}

= \frac{259}{20}

Convert improper fractions to mixed numbers:

\frac{259}{20} = 12 \frac{19}{20}

\frac{259}{20} = 12

Remainder

19

\frac{259}{20}

Write the problem in long division format

20 \overline{∣ 259}

Divide

25

20

to get

1

Divide

25

20

to get

1

1 20 \overline{∣ 259}

Multiply the quotient digit

(1)

by the divisor

20

1 20 \overline{∣ 259} \underline{20}

Subtract

20

from

25

1 20 \overline{∣ 259} \underline{20} 5

Bring down the next number of the dividend

1 20 \overline{∣ 259} \underline{20} 59

1 20 \overline{∣ 259} \underline{20} 59

Divide

59

20

to get

2

Divide

59

20

to get

2

12 20 \overline{∣ 259} \underline{20} 59

Multiply the quotient digit

(2)

by the divisor

20

12 20 \overline{∣ 259} \underline{20} 59 \underline{40}

Subtract

40

from

59

12 20 \overline{∣ 259} \underline{20} 59 \underline{40} 19

12 20 \overline{∣ 259} \underline{20} 59 \underline{40} 19

The solution for Long Division of

\frac{259}{20}

12

with remainder of

19

12 Remainder 19

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{259}{20} = 12 \frac{19}{20}

= 12 \frac{19}{20}

= 12 \frac{19}{20}

Popular Examples

2(2)^2+2

8-[(-7-2)× (1-11)]+6× (-4)

13/18-2*1/6

13-5(57-1)

(-1)^2-3(-1)

Frequently Asked Questions (FAQ)

What is (8+3/4)+4 1/5 ?
The solution to (8+3/4)+4 1/5 is 12 19/20

(8+3/4)+4 1/5

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (8+3/4)+4 1/5 ?

Popular topics