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3 years ago

What is 1/4+1/3+ 1/6+1/8+1/8

Mathematics

2 answers:

GarryVolchara [31]3 years ago

7 0

1/4 + 1/3 + 1/6 + 1/8 + 1/8

Must have same denominators
6/24 + 8/24 + 4/24 + 3/24(2)

Answer: 1

Maurinko [17]3 years ago

3 0

Answer: 1

Step-by-step explanation: 1 Find the Least Common Denominator (LCD) of \frac{1}{4}, \frac{1}{3}, \frac{1}{6}, \frac{1}{8}, \frac{1}{8}

 ,

 .

Method 1: By Listing Multiples

List out all multiples of each denominator, and find the first common one.

Multiples of 4 : 4, 8, 12, 16, 20, 24, ...

Multiples of 3 : 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 6 : 6, 12, 18, 24, ...

Multiples of 8 : 8, 16, 24, ...

Therefore, the LCD is 2424.

Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

Prime Factors of 4 : 2, 2

Prime Factors of 3 : 3

Prime Factors of 6 : 2, 3

Prime Factors of 8 : 2, 2, 2

Therefore, the LCD is 2\times 2\times 2\times 3=242×2×2×3=24.

LCD = 2424

2 Make the denominators the same as the LCD.

\frac{1\times 6}{4\times 6}+\frac{1\times 8}{3\times 8}+\frac{1\times 4}{6\times 4}+\frac{1\times 3}{8\times 3}+\frac{1\times 3}{8\times 3}

4×6

1×6

 +

3×8

1×8

 +

6×4

1×4

 +

8×3

1×3

 +

8×3

1×3

3 Simplify. Denominators are now the same.

\frac{6}{24}+\frac{8}{24}+\frac{4}{24}+\frac{3}{24}+\frac{3}{24}

24

 +

24

 +

24

 +

24

 +

24

4 Join the denominators.

\frac{6+8+4+3+3}{24}

24

6+8+4+3+3

5 Simplify.

\frac{24}{24}

24

6. Cancel 2/4 2/4.=

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