Math

QuestionCalculate 434+2344 \frac{3}{4} + 2 \frac{3}{4} and 6371676 \frac{3}{7} - 1 \frac{6}{7}.

Studdy Solution

STEP 1

Assumptions1. We are adding and subtracting mixed numbers. . We need to simplify the results to the lowest terms.

STEP 2

First, let's add the whole numbers and the fractions separately.
4+2=64 +2 =64+4=64\frac{}{4} + \frac{}{4} = \frac{6}{4}

STEP 3

Now, let's simplify the fraction.
6=112\frac{6}{} =1 \frac{1}{2}

STEP 4

Add the whole number from the fraction to the whole number sum.
6+1=76 +1 =7

STEP 5

The result of the first operation is 7127 \frac{1}{2}.
Now, let's subtract the second set of numbers. Again, we'll subtract the whole numbers and the fractions separately.
1=5 -1 =5377=37\frac{3}{7} - \frac{}{7} = -\frac{3}{7}

STEP 6

Since the fraction is negative, we need to subtract1 from the whole number and add it to the fraction to make it positive.
51=45 -1 =43+1=4-\frac{3}{} +1 = \frac{4}{}

STEP 7

The result of the second operation is 4474 \frac{4}{7}.
So, the final answer to the problem is\begin{tabular}{rr} 7127 \frac{1}{2} & 4474 \frac{4}{7} \\ \end{tabular}

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