Math

QuestionCalculate 38+14\frac{3}{8}+\frac{1}{4}.

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions 38\frac{3}{8} and 14\frac{1}{4}. . To add fractions, we need a common denominator.

STEP 2

First, we need to find a common denominator. The common denominator of8 and4 is8.

STEP 3

Next, we need to convert the fractions to have the common denominator. The fraction 38\frac{3}{8} is already in this form, but we need to convert 1\frac{1}{}.

STEP 4

To convert 14\frac{1}{4} to a fraction with8 as the denominator, we multiply both the numerator and the denominator by2.
14=1×24×2=28\frac{1}{4} = \frac{1 \times2}{4 \times2} = \frac{2}{8}

STEP 5

Now that both fractions have the same denominator, we can add them together.
38+28\frac{3}{8} + \frac{2}{8}

STEP 6

Add the numerators of the fractions.
3+28=58\frac{3 +2}{8} = \frac{5}{8}So, 38+14=58\frac{3}{8} + \frac{1}{4} = \frac{5}{8}.

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