What is (4/5+3/7)-11/35 ?

The solution to (4/5+3/7)-11/35 is 32/35

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Popular >

(4/5+3/7)-11/35

Solution

(\frac{4}{5} + \frac{3}{7}) - \frac{11}{35}

Solution

\frac{32}{35}

Solution steps

(\frac{4}{5} + \frac{3}{7}) - \frac{11}{35}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{4}{5} + \frac{3}{7}) : \frac{43}{35}

\frac{4}{5} + \frac{3}{7}

\frac{4}{5} + \frac{3}{7} = \frac{43}{35}

\frac{4}{5} + \frac{3}{7}

Least Common Multiplier of

5, 7 : 35

5, 7

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

5

7

= 5 \cdot 7

Multiply the numbers:

5 \cdot 7 = 35

= 35

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

35

For

\frac{4}{5} :

multiply the denominator and numerator by

7

\frac{4}{5} = \frac{4 \cdot 7}{5 \cdot 7} = \frac{28}{35}

For

\frac{3}{7} :

multiply the denominator and numerator by

5

\frac{3}{7} = \frac{3 \cdot 5}{7 \cdot 5} = \frac{15}{35}

= \frac{28}{35} + \frac{15}{35}

Since the denominators are equal, combine the fractions:

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

= \frac{28 + 15}{35}

Add the numbers:

28 + 15 = 43

= \frac{43}{35}

= \frac{43}{35}

= \frac{43}{35} - \frac{11}{35}

Add and subtract (left to right)

\frac{43}{35} - \frac{11}{35} : \frac{32}{35}

\frac{43}{35} - \frac{11}{35}

\frac{43}{35} - \frac{11}{35} = \frac{32}{35}

\frac{43}{35} - \frac{11}{35}

Apply rule

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

= \frac{43 - 11}{35}

Subtract the numbers:

43 - 11 = 32

= \frac{32}{35}

= \frac{32}{35}

= \frac{32}{35}

Popular Examples

-100+(-40)-(-10)

- 100 + (- 40) - (- 10)

6-(5+4)*3/2

6 - (5 + 4) \cdot 3/2

-(1)^2-(-1)^3+(-1)^5

- (1)^{2} - (- 1)^{3} + (- 1)^{5}

9(3/3)^2-6(3/3)

9 (\frac{3}{3})^{2} - 6 (\frac{3}{3})

-2(9)-1

- 2 (9) - 1

Frequently Asked Questions (FAQ)

What is (4/5+3/7)-11/35 ?
The solution to (4/5+3/7)-11/35 is 32/35