What is 3\times 3/4+4\times 3/7 ?

The solution to 3\times 3/4+4\times 3/7 is 3 27/28

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3\times 3/4+4\times 3/7

Solution

3 \cdot \frac{3}{4} + 4 \cdot \frac{3}{7}

Solution

3 \frac{27}{28}

Solution steps

3 \cdot \frac{3}{4} + 4 \cdot \frac{3}{7}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \cdot \frac{3}{4} : \frac{9}{4}

3 \cdot \frac{3}{4}

Convert element to fraction:

3 = \frac{3}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 3 = 9

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

Multiply the numbers:

1 \cdot 4 = 4

= \frac{9}{4}

= \frac{9}{4} + 4 \cdot \frac{3}{7}

Multiply and divide (left to right)

4 \cdot \frac{3}{7} : \frac{12}{7}

4 \cdot \frac{3}{7}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{3}{7}

Apply the fraction rule:

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

= \frac{4 \cdot 3}{1 \cdot 7}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{12}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{12}{7}

= \frac{9}{4} + \frac{12}{7}

Add and subtract (left to right)

\frac{9}{4} + \frac{12}{7} : \frac{111}{28}

\frac{9}{4} + \frac{12}{7}

\frac{9}{4} + \frac{12}{7} = \frac{111}{28}

\frac{9}{4} + \frac{12}{7}

Least Common Multiplier of

4, 7 : 28

4, 7

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

7 : 7

7

7

is a prime number, therefore no factorization is possible

= 7

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

4

7

= 2 \cdot 2 \cdot 7

Multiply the numbers:

2 \cdot 2 \cdot 7 = 28

= 28

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

28

For

\frac{9}{4} :

multiply the denominator and numerator by

7

\frac{9}{4} = \frac{9 \cdot 7}{4 \cdot 7} = \frac{63}{28}

For

\frac{12}{7} :

multiply the denominator and numerator by

4

\frac{12}{7} = \frac{12 \cdot 4}{7 \cdot 4} = \frac{48}{28}

= \frac{63}{28} + \frac{48}{28}

Since the denominators are equal, combine the fractions:

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

= \frac{63 + 48}{28}

Add the numbers:

63 + 48 = 111

= \frac{111}{28}

= \frac{111}{28}

= \frac{111}{28}

Convert improper fractions to mixed numbers:

\frac{111}{28} = 3 \frac{27}{28}

\frac{111}{28} = 3

Remainder

27

\frac{111}{28}

Write the problem in long division format

28 \overline{∣ 111}

Divide

111

28

to get

3

Divide

111

28

to get

3

3 28 \overline{∣ 111}

Multiply the quotient digit

(3)

by the divisor

28

3 28 \overline{∣ 111} \underline{84}

Subtract

84

from

111

3 28 \overline{∣ 111} \underline{84} 27

3 28 \overline{∣ 111} \underline{84} 27

The solution for Long Division of

\frac{111}{28}

3

with remainder of

27

3 Remainder 27

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{111}{28} = 3 \frac{27}{28}

= 3 \frac{27}{28}

= 3 \frac{27}{28}

Popular Examples

-7(-5-8)

- 7 (- 5 - 8)

31+19-8

31 + 19 - 8

4(5)-2

4 (5) - 2

4(5)-5

4 (5) - 5

21-(-17)-15

21 - (- 17) - 15

Frequently Asked Questions (FAQ)

What is 3\times 3/4+4\times 3/7 ?
The solution to 3\times 3/4+4\times 3/7 is 3 27/28