The solution to 2/3*2-5/6 is 1/2

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2/3*2-5/6

Solution

\frac{2}{3} \cdot 2 - \frac{5}{6}

Solution

\frac{1}{2}

Solution steps

\frac{2}{3} \cdot 2 - \frac{5}{6}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

\frac{2}{3} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

Multiply the numbers:

3 \cdot 1 = 3

= \frac{4}{3}

= \frac{4}{3} - \frac{5}{6}

Add and subtract (left to right)

\frac{4}{3} - \frac{5}{6} : \frac{1}{2}

\frac{4}{3} - \frac{5}{6}

\frac{4}{3} - \frac{5}{6} = \frac{1}{2}

\frac{4}{3} - \frac{5}{6}

Least Common Multiplier of

3, 6 : 6

3, 6

Least Common Multiplier (LCM)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

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

3

6

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

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

6

For

\frac{4}{3} :

multiply the denominator and numerator by

2

\frac{4}{3} = \frac{4 \cdot 2}{3 \cdot 2} = \frac{8}{6}

= \frac{8}{6} - \frac{5}{6}

Since the denominators are equal, combine the fractions:

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

= \frac{8 - 5}{6}

Subtract the numbers:

8 - 5 = 3

= \frac{3}{6}

Cancel the common factor:

3

= \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

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18^2+24^2

1 8^{2} + 2 4^{2}

(3 3/8-1 1/5)+1 7/8

(3 \frac{3}{8} - 1 \frac{1}{5}) + 1 \frac{7}{8}

2(4)^3

2 (4)^{3}

14^2+16^2

1 4^{2} + 1 6^{2}

4\times 3^2

4 \times 3^{2}

Frequently Asked Questions (FAQ)

What is 2/3*2-5/6 ?
The solution to 2/3*2-5/6 is 1/2

2/3*2-5/6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2/3*2-5/6 ?