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

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}

​4

​

​1

​​ ,

​3

​

​1

​​ ,

​6

​

​1

​​ ,

​8

​

​1

​​ ,

​8

​

​1

​​ .

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, ...  

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

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

​

​6

​​ +

​24

​

​8

​​ +

​24

​

​4

​​ +

​24

​

​3

​​ +

​24

​

​3

​​  

4 Join the denominators.

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

​24

​

​6+8+4+3+3

​​  

5 Simplify.

\frac{24}{24}

​24

​

​24

​​  

6. Cancel 2/4 2/4.=

1

if x decreases by 4 then y increases by 10

step-by-step explanation:

312312

step-by-step explanation: