3t+2 t-4

_____ + _____ a fraction? Please explain step by step to me so, I can start helping him with these problems.

7 14

3t+2 t-4

_____ + _____ a fraction? Please explain step by step to me so, I can start helping him with these problems.

7 14

Tutors, please sign in to answer this question.

Middletown, CT

Hi T;

[(3t+2)/7]+[(t-4)/14]

The first priority is to have both denominators, also known as divisors, identical. One is 7, the other 14. Let's take the fraction with the former divisor and multiply it by 2/2.

(2/2)[(3t+2)/7]

[2(3t+2)]/14

[2(3t+2)]/14+[(t-4)/14]

Let's combine the two numerators, information on top of each fraction.

[2(3t+2)+(t-4)]/14

Now, let's distribute the 2...

(6t+4+t-4)/14

6t+t=6t+1t=7t

4-4=0

7t/14

7/14=1/2

1t/2

t/2

Highland Park, IL

The distributive property is : ab + ac = a(b + c). In your example:

First, multiply first fraction by 2 using common denominator 14:

2(3t + 2)/14 + (t - 4)/14

The common factor is 1/14: 2(3t + 2)/14 + (t - 4)/14 = 1/14 [2(3t + 2) + (t - 4)] = 1/14 (6t + 4 + t - 4) = 7t/14 = t/2

Jun L.

PhD-level tutor: statistics teaching /statistical consulting

Brooklyn, NY

5.0
(25 ratings)

Tyler D.

Passionate researcher and educator in all STEM subjects

New York, NY

Thomas B.

Statistics / Probability Instructor

Jersey City, NJ

4.0
(1 ratings)

- Algebra 1 3730
- Math 8574
- Algebra 4546
- The Distributive Property 6
- Simplifying Expressions 131
- Equations 640
- Expressions 114
- Gcf 17
- Parentheses 6
- Math Help 4840