The solution to 2*3/4+3/8 is 1 7/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2*3/4+3/8

Solution

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

Solution

1 \frac{7}{8}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \cdot \frac{3}{4} : \frac{3}{2}

2 \cdot \frac{3}{4}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{3}{4}

Apply the fraction rule:

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

= \frac{2 \cdot 3}{1 \cdot 4}

\frac{2 \cdot 3}{1 \cdot 4} = \frac{3}{2}

\frac{2 \cdot 3}{1 \cdot 4}

Multiply the numbers:

1 \cdot 4 = 4

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

= \frac{3}{2}

= \frac{3}{2}

= \frac{3}{2} + \frac{3}{8}

Add and subtract (left to right)

\frac{3}{2} + \frac{3}{8} : \frac{15}{8}

\frac{3}{2} + \frac{3}{8}

\frac{3}{2} + \frac{3}{8} = \frac{15}{8}

\frac{3}{2} + \frac{3}{8}

Least Common Multiplier of

2, 8 : 8

2, 8

Least Common Multiplier (LCM)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

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

2

8

= 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 = 8

= 8

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

8

For

\frac{3}{2} :

multiply the denominator and numerator by

4

\frac{3}{2} = \frac{3 \cdot 4}{2 \cdot 4} = \frac{12}{8}

= \frac{12}{8} + \frac{3}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{12 + 3}{8}

Add the numbers:

12 + 3 = 15

= \frac{15}{8}

= \frac{15}{8}

= \frac{15}{8}

Convert improper fractions to mixed numbers:

\frac{15}{8} = 1 \frac{7}{8}

\frac{15}{8} = 1

Remainder

7

\frac{15}{8}

Write the problem in long division format

8 \overline{∣ 15}

Divide

15

8

to get

1

Divide

15

8

to get

1

1 8 \overline{∣ 15}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 15} \underline{8}

Subtract

8

from

15

1 8 \overline{∣ 15} \underline{8} 7

1 8 \overline{∣ 15} \underline{8} 7

The solution for Long Division of

\frac{15}{8}

1

with remainder of

7

1 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15}{8} = 1 \frac{7}{8}

= 1 \frac{7}{8}

= 1 \frac{7}{8}

Popular Examples

(1)(1)+1

(1) (1) + 1

2(0)^2+2

2 (0)^{2} + 2

7-5(1)+3(7)

7 - 5 (1) + 3 (7)

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

(- 2)^{2} - (3)^{2}

3\times+4\times+4-7\times (-3)

3 \times + 4 \times + 4 - 7 \times (- 3)

Frequently Asked Questions (FAQ)

What is 2*3/4+3/8 ?
The solution to 2*3/4+3/8 is 1 7/8

2*3/4+3/8

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2*3/4+3/8 ?