Simplify 3 y - \;(2y-3)/4

Correct Answer is : 10y+34\;10y+3/4410y+3

Correct Answer is : 10y+34\;10y+3/4410y+3

Test Index

BECE Mathematics 2021 Paper

Question : 25

Total: 40

Simplify

3 y - \;\frac{(2y-3)}{4}

Solution:

Concept:

Combine the terms by writing

3y

as a fraction with denominator

4

, then simplify the numerator.

Explanation:

Write

3y

\frac{12y}{4}

So,

3y - \frac{2y-3}{4} = \frac{12y}{4} - \frac{2y-3}{4}

Since the denominators are the same, subtract the numerators:

\frac{12y - (2y-3)}{4}

Remove the bracket carefully:

12y - 2y + 3 = 10y + 3

Therefore, the simplified expression is

\frac{10y+3}{4}

Answer:

\frac{10y+3}{4}

Correct option: D.

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