What is 3+2/5 \times 3/4 ?

The solution to 3+2/5 \times 3/4 is 3 3/10

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Popular >

3+2/5 \times 3/4

Solution

3 + \frac{2}{5} \cdot \frac{3}{4}

Solution

3 \frac{3}{10}

Solution steps

3 + \frac{2}{5} \cdot \frac{3}{4}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{2}{5} \cdot \frac{3}{4} : \frac{3}{10}

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

Cancel

\frac{2 \cdot 3}{5 \cdot 4} : \frac{3}{10}

\frac{2 \cdot 3}{5 \cdot 4}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 3}{5 \cdot 2 \cdot 2}

Cancel the common factor:

2

= \frac{3}{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{3}{10}

= \frac{3}{10}

= 3 + \frac{3}{10}

Add and subtract (left to right)

3 + \frac{3}{10} : \frac{33}{10}

3 + \frac{3}{10}

3 + \frac{3}{10} = \frac{33}{10}

3 + \frac{3}{10}

Convert element to fraction:

3 = \frac{3 \cdot 10}{10}

= \frac{3 \cdot 10}{10} + \frac{3}{10}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 10 + 3}{10}

3 \cdot 10 + 3 = 33

3 \cdot 10 + 3

Multiply the numbers:

3 \cdot 10 = 30

= 30 + 3

Add the numbers:

30 + 3 = 33

= 33

= \frac{33}{10}

= \frac{33}{10}

= \frac{33}{10}

Convert improper fractions to mixed numbers:

\frac{33}{10} = 3 \frac{3}{10}

\frac{33}{10} = 3

Remainder

3

\frac{33}{10}

Write the problem in long division format

10 \overline{∣ 33}

Divide

33

10

to get

3

Divide

33

10

to get

3

3 10 \overline{∣ 33}

Multiply the quotient digit

(3)

by the divisor

10

3 10 \overline{∣ 33} \underline{30}

Subtract

30

from

33

3 10 \overline{∣ 33} \underline{30} 3

3 10 \overline{∣ 33} \underline{30} 3

The solution for Long Division of

\frac{33}{10}

3

with remainder of

3

3 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{33}{10} = 3 \frac{3}{10}

= 3 \frac{3}{10}

= 3 \frac{3}{10}

Popular Examples

2+1/6-4/9

2 + \frac{1}{6} - \frac{4}{9}

7+2+3+1+(-1)

7 + 2 + 3 + 1 + (- 1)

1^4+641

1^{4} + 641

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

- 1^{2} + 2 (- 1) + 3

7^2+71

7^{2} + 71

Frequently Asked Questions (FAQ)

What is 3+2/5 \times 3/4 ?
The solution to 3+2/5 \times 3/4 is 3 3/10