I am having trouble with these type of problems. 35(9y−4)+916(15y+12) I cant figure out how to simplify with fractions?

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Emeli Hagan

Answered question

2021-09-24

I am having trouble with these type of problems.

\frac{3}{5} (9 y - 4) + \frac{9}{16} (15 y + 12)

I cant figure out how to simplify with fractions?

Answer & Explanation

Fatema Sutton

Skilled2021-09-25Added 88 answers

Step 1
Given:
The expression,

\frac{3}{5} (9 y - 4) + \frac{9}{16} (15 y - 12)

Step 2
To add these two fractions we have to make denominator common
For this multiply and divide both term by numbers so that we get least common denominator
Therefore multiply and divide first term by 16 and second term by 5.

\frac{3 \cdot 16}{5 \cdot 16} (9 y - 4) + \frac{9 \cdot 5}{16 \cdot 5} (15 y + 12)

Simplifying,

\frac{48}{80} (9 y - 4) + \frac{45}{80} (15 y + 12)

= \frac{432}{80} y - \frac{192}{80} + \frac{675 y}{80} + \frac{540}{80}

= \frac{1107 y}{80} + \frac{348}{80}

= \frac{1107 y + 348}{80}

Step 3
Therefore, given expression simplifies to

\frac{3}{5} (9 y - 4) + \frac{9}{16} (15 y + 12) = \frac{1107 y + 348}{80}

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