Multiplying fractions word problemsMultiplying fractions word problems arise in numerous situations. We will show you some examples. I recommend that before starting this lesson, review multiplication of fractions or multiply fractions calculator Example #1: What is onefourth of half? Solution You can probably model this problem with the following illustration: Example #1: What is onefourth of half? Solution You can probably model this problem with the following illustration: In the figure above, we broke it into half. Then, break half into 4 equal parts. The result? The shaded area is oneeighth You could solve the same problem simply by doing a multiplication of 1/4 and 1/2 1/4 × 1/2 = 1/8 In general,no need to make a graph to solve these type of problems Just do multiplication! Example #2 What is onethird of threefourths? Solution 1/3 × 3/4 = 3/12 = 1/4 If you want to model the situation, you will construct the following graph: Example #3: A recipe needs 1/4 tablespoon salt. How much salt does 8 such recipe need? Solution This word problem requires multiplication of fractions Instead of adding 1/4 eight times, we can just do: 1/4 × 8 = 1/4 × 8/1 = 8/4 = 2 To make 8 recipes, we need 2 tablespoons of salt. Exercises #4: Peter's truck gets him 10 2/3 miles per gallon. Suppose Peter's tank is empty and he puts 5 1/2 gallons, how far can Peter go with the truck? Solution This word problem requires too multiplication. Also, Note that both numbers are mixed numbers. Thus, you have to convert them to improper fractions before you multiply. 10 2/3 × 5 1/2 = (10 × 3 + 2)/3 × (5 × 2 +1)/2 = 32/3 × 11/2 10 2/3 × 5 1/2 = (32 × 11)/6 = 352/6 = 58.66 miles Have A Great Basic Math Word Problem?Share it here with a very detailed solution! What Other Visitors Have SaidClick below to see contributions from other visitors to this page...
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