Question

Represent the following as one rational number

5/14 + 1/6 - (-13 (4/5))
A: 6.4
B: 22
C: 28
D: -21

Answer 1

To represent the expression 5/14 + 1/6 - (-13 * (4/5)) as one rational number, we need to find a common denominator and add or subtract the numerators step-by-step. The simplified form of the expression is 285/42.

Step-by-step explanation:

To represent the expression 5/14 + 1/6 - (-13 * (4/5)) as one rational number, we need to simplify it by finding a common denominator and adding or subtracting the numerators. Let's break it down step-by-step:

1. Convert the whole numbers to rational numbers by putting them over 1. The expression becomes 5/14 + 1/6 - (-13 * (4/5)) = 5/14 + 1/6 - (-65/5).
2. Find a common denominator for all the fractions, which in this case is 42. Multiply the denominators and numerators to get: 5/14 + 7/42 - (-65/5) = 5/14 + 7/42 + 273/42.
3. Add or subtract the numerators to simplify the expression: 5/14 + 7/42 + 273/42 = (5 + 7 + 273)/42 = 285/42.

So the expression 5/14 + 1/6 - (-13 * (4/5)) simplifies to 285/42.