We will see how to divide fractions with fractions. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
1. Math Study Strategies Math for Sewing Dividing Fractions Example Problem To divide fractions, follow these steps: What is 1 3 4 ÷ 3 8 ? Step 1 3 7 Change all mixed numbers to improper fractions. 14 = 4 Step 2 3 8 Invert the divisor (using the reciprocal). 8 3 Step 3 Change the division 7 x 8 sign to a multiplicaton sign. 4 3 For more information about this and other math topics, come to the Math Lab 722-6300 x 6232. Caproiu & Hall, 2000 Step 4 2 7 Cancel if possible. x 8 41 3 Step 5 7 14 Multiply straight across. x 2 = 1 3 3 Step 6 Reduce the answer to lowest terms 2 (if possible) or express it as a mixed 4 3 number. Visual Representation 3 7 3 8 8 7 12345678 12345678 123456789012345678901 123456789012345678901 12345678 12345678 123456789012345678901 123456789012345678901 123456789012345678901 12345678 12345678 123456789012345678901 123456789012345678901 123456789012345678901 12345678 123456789012345678901 12345678 12345678 123456789012345678901 123456789012345678901 123456789012345678901 12345678 123456789012345678901 Learning Center
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