# Math Help - 2 basic fraction equations

1. ## 2 basic fraction equations

We are having a bit of fun in the office of the afternoon, and I need some confirmation on the following 2 equations:

4 & 4/5 + 3 & 7/8 – 1 & 5/6 = ?

4/9 x 1 ½ ÷ 3 1/5 = ?

If you can, please show working

2. Most of the team have come up with this:

Q1. 6 101/120
Q2. 5/24

3. Originally Posted by fakename
Most of the team have come up with this:

Q1. 6 101/120
Q2. 5/24

Correct!

4. Would someone be able to post the workings so I can confirm for everyone, please?

5. \begin{aligned}
4\frac{4}{5} + 3\frac{7}{8} - 1\frac{5}{6} &= 4\frac{96}{120} + 3\frac{105}{120} - 1\frac{100}{120} \\
&= 6\frac{101}{120}
\end{aligned}

\begin{aligned}
\frac{4}{9} \times 1\frac{1}{2} \div 3\frac{1}{5} &= \frac{4}{9} \times \frac{3}{2} \div \frac{16}{5} \\
&= \frac{4}{9} \times \frac{3}{2} \times \frac{5}{16} \\
&= \frac{60}{288} \\
&= \frac{5}{24}
\end{aligned}

01

6. Thank you!

Thanks given!