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

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2-1/2-5/6

Solution

2 - \frac{1}{2} - \frac{5}{6}

Solution

\frac{2}{3}

Solution steps

2 - \frac{1}{2} - \frac{5}{6}

Follow the PEMDAS order of operations

Add and subtract (left to right)

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

2 - \frac{1}{2}

Convert element to fraction:

2 = \frac{2 \cdot 2}{2}

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

Since the denominators are equal, combine the fractions:

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

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

2 \cdot 2 - 1 = 3

2 \cdot 2 - 1

Multiply the numbers:

2 \cdot 2 = 4

= 4 - 1

Subtract the numbers:

4 - 1 = 3

= 3

= \frac{3}{2}

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

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

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

Least Common Multiplier of

2, 6 : 6

2, 6

Least Common Multiplier (LCM)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

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

2

6

= 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 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{3}{2} :

multiply the denominator and numerator by

3

\frac{3}{2} = \frac{3 \cdot 3}{2 \cdot 3} = \frac{9}{6}

= \frac{9}{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{9 - 5}{6}

Subtract the numbers:

9 - 5 = 4

= \frac{4}{6}

Cancel the common factor:

2

= \frac{2}{3}

= \frac{2}{3}

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25 5^{2} - 4

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46 - 2 (- 2)

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2^{6} + 2^{5}

7+15(-1/10)

7 + 15 (- \frac{1}{10})

2\div 3\div 7

2 \div 3 \div 7

Frequently Asked Questions (FAQ)

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

2-1/2-5/6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2-1/2-5/6 ?