The solution to 4/5-2/6 is 7/15

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Popular >

simplify 4/5-2/6

Solution

simplify

\frac{4}{5} - \frac{2}{6}

Solution

\frac{7}{15}

Decimal Notation

0.46666 \dots

Solution steps

\frac{4}{5} - \frac{2}{6}

Cancel

\frac{2}{6} : \frac{1}{3}

\frac{2}{6}

Cancel the numbers:

\frac{2}{6} = \frac{1}{3}

= \frac{1}{3}

= \frac{4}{5} - \frac{1}{3}

\frac{4}{5} - \frac{1}{3} = \frac{7}{15}

\frac{4}{5} - \frac{1}{3}

Least Common Multiplier of

5, 3 : 15

5, 3

Least Common Multiplier (LCM)

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

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

5

3

= 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 15

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

15

For

\frac{4}{5} :

multiply the denominator and numerator by

3

\frac{4}{5} = \frac{4 \cdot 3}{5 \cdot 3} = \frac{12}{15}

For

\frac{1}{3} :

multiply the denominator and numerator by

5

\frac{1}{3} = \frac{1 \cdot 5}{3 \cdot 5} = \frac{5}{15}

= \frac{12}{15} - \frac{5}{15}

Apply the fraction rule:

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

= \frac{12 - 5}{15}

Subtract the numbers:

12 - 5 = 7

= \frac{7}{15}

= \frac{7}{15}

Popular Examples

(8-6)-(3-7-2)+(1-8+2)

(8 - 6) - (3 - 7 - 2) + (1 - 8 + 2)

(1-4(-4))/(15)

\frac{1 - 4 ( - 4 )}{15}

(3\times 7+2\times 15)\times (81+4\times 20)

(3 \times 7 + 2 \times 15) \times (81 + 4 \times 20)

-3+4(-2(5))

- 3 + 4 (- 2 (5))

5+3*(12+2)

5 + 3 \cdot (12 + 2)

Frequently Asked Questions (FAQ)

What is 4/5-2/6 ?
The solution to 4/5-2/6 is 7/15

simplify 4/5-2/6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 4/5-2/6 ?