fractions

**abb1327** · July 10th 2008, 04:33 PM

can anyone help with this problem:
196+76 5/8+100 7/8+146 1/2+98 3/4 what does it =???

**o_O** · July 10th 2008, 04:53 PM

Please do not double post as you did in your other two threads. Just simply post your question and one of the members will come to it.

As for your question, is this it:
$196+76 \frac{5}{8}+100 \frac{7}{8}+146\frac{1}{2}+98\frac{3}{4}$

If so, what I'd do is first convert each mixed fraction into a improper one (personal preference): $196 + \frac{380}{8} + \frac{700}{8} + \frac{146}{2} + \frac{294}{4}$

As you should know, we need a common denominator in order for fraction addition to work. What we could do is put each term into a fraction with a denominator of 8:
$\frac{196}{1} {\color{blue} \cdot \frac{8}{8}} \: \: + \: \: \frac{380}{8} \: \: + \: \: \frac{700}{8} \: \: + \: \: \frac{146}{2} {\color{blue} \cdot \frac{4}{4}} \: \: + \: \: \frac{294}{4} {\color{blue} \cdot \frac{2}{2}}$

Can you finish off?

**Soroban** · July 10th 2008, 05:37 PM

Hello, abb1327!

Simplify: . $196 + 76\frac{5}{8} + 100\frac{7}{8} +146\frac{1}{2}+ 98\frac{3}{4}$

We have: . $\begin{array}{ccc} & 196 \\ & \;\;76 & \frac{5}{8} \\ \\[-4mm]& 100 & \frac{7}{8} \\ \\[-4mm] & 146 & \frac{1}{2} \\ \\[-4mm] + & \;\;98 & \frac{3}{4} \\ \\[-4mm] \hline \\[-4mm]& 616 & {\color{blue}?}\end{array}$

Then: . $\frac{5}{8} + \frac{7}{8} + \frac{1}{2} + \frac{3}{4} \;=\;\frac{5}{8} + \frac{7}{8} + \frac{4}{8} + \frac{6}{8} \;=\;\frac{22}{8} \;=\;2\frac{3}{4}$

Therefore: . $616 + 2\frac{3}{4} \;=\;\boxed{618\frac{3}{4}}$

**abb1327** · July 10th 2008, 06:56 PM

i was just stuck on the part where it said 22/8 thats all but thank u!!

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thanks!!!!

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