Simplify: (6/7) + (5/14)

Simplify: (6/7) + (5/14)

• A. 1.04
• B. 1.07
• C. 1.15
• D. 1.2

Answer: (B)

To simplify the sum of the two fractions \((6/7) + (5/14)\), you first need a common denominator. The denominators in this case are 7 and 14. The least common multiple of these two numbers is 14. Next, convert \(6/7\) into a fraction with a denominator of 14. Since \(6/7\) can be multiplied by \((2/2)\) to make the denominator 14, you get: \[ 6/7 = (6 \times 2)/(7 \times 2) = 12/14 \] Now, add this to the other fraction: \[ 12/14 + 5/14 = (12 + 5)/14 = 17/14 \] The fraction \(17/14\) is an improper fraction, which can also be expressed as a mixed number. When you divide 17 by 14, it equals 1 with a remainder of 3, which can be written as: \[ 1 + 3/14 \] To express this as a decimal, convert \(3/14\): \[ 3 ÷ 14 \approx 0.214

To simplify the sum of the two fractions ((6/7) + (5/14)), you first need a common denominator. The denominators in this case are 7 and 14. The least common multiple of these two numbers is 14.

Next, convert (6/7) into a fraction with a denominator of 14. Since (6/7) can be multiplied by ((2/2)) to make the denominator 14, you get:

[

6/7 = (6 \times 2)/(7 \times 2) = 12/14

]

Now, add this to the other fraction:

[

12/14 + 5/14 = (12 + 5)/14 = 17/14

]

The fraction (17/14) is an improper fraction, which can also be expressed as a mixed number. When you divide 17 by 14, it equals 1 with a remainder of 3, which can be written as:

[

1 + 3/14

]

To express this as a decimal, convert (3/14):

[

3 ÷ 14 \approx 0.214