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Popular >

simplify 3/2+1/6

Solution

simplify

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

Solution

\frac{5}{3}

Decimal Notation

1.66666 \dots

Solution steps

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

Apply the fraction rule:

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

= \frac{9 + 1}{6}

Add the numbers:

9 + 1 = 10

= \frac{10}{6}

Cancel

\frac{10}{6} : \frac{5}{3}

\frac{10}{6}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 5}{2 \cdot 3}

Cancel the common factor:

2

= \frac{5}{3}

= \frac{5}{3}

Popular Examples

1/2 5(1-10)^2

\frac{1}{2} 5 (1 - 10)^{2}

15*5^2

15 \cdot 5^{2}

+34-23-56-12+15

+ 34 - 23 - 56 - 12 + 15

15+(45-9)-(21+7)

15 + (45 - 9) - (21 + 7)

4(6+2)^2

4 (6 + 2)^{2}

Frequently Asked Questions (FAQ)

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

simplify 3/2+1/6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3/2+1/6 ?