The solution to 83/4+1/6 is 251/12

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Popular >

simplify 83/4+1/6

Solution

simplify

\frac{83}{4} + \frac{1}{6}

Solution

\frac{251}{12}

Decimal Notation

20.91666 \dots

Solution steps

\frac{83}{4} + \frac{1}{6}

Least Common Multiplier of

4, 6 : 12

4, 6

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

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

4

6

= 2 \cdot 2 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 3 = 12

= 12

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

12

For

\frac{83}{4} :

multiply the denominator and numerator by

3

\frac{83}{4} = \frac{83 \cdot 3}{4 \cdot 3} = \frac{249}{12}

For

\frac{1}{6} :

multiply the denominator and numerator by

2

\frac{1}{6} = \frac{1 \cdot 2}{6 \cdot 2} = \frac{2}{12}

= \frac{249}{12} + \frac{2}{12}

Apply the fraction rule:

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

= \frac{249 + 2}{12}

Add the numbers:

249 + 2 = 251

= \frac{251}{12}

Popular Examples

2+2-4

2 + 2 - 4

2+2-1

2 + 2 - 1

-(2-3)^2-2

- (2 - 3)^{2} - 2

1-1/6-4/3

1 - \frac{1}{6} - \frac{4}{3}

6{3+(5-1)2}

6 {3 + (5 - 1) 2}

Frequently Asked Questions (FAQ)

What is 83/4+1/6 ?
The solution to 83/4+1/6 is 251/12

simplify 83/4+1/6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 83/4+1/6 ?