Problems on multiplication of fractional numbers will give idea how to solve different types of word problems.
1. One meter of cloth costs $ 15 1/2. Find the cost of 14 1/2 meter of cloth.
Solution:
Cost of 1 meter of cloth = $ 15 1/2
Length of the cloth = 14 1/2 meter
Cost of 14 1/2 meter of cloth = $ 15 1/2 × 14 1/2
= $ (31/2 × 29/2)
= $ 899/4
= $ 224.75
2. 3/5 of a class of 45 are girls. Find the number of boys in the class.
Solution:
Total number of student = 45
No. of girls = 45 of 3/5
= 45 × 3/5
= 9 × 3
= 27 girls. No. of boys = 45 – 27
= 18 boys.
Therefore, number of boys in the class = 18.
3. Mike had 3/4 of a chocolate bar. He ate 2/3 of it. How much part of the chocolate bar did he eat?
Solution:
Mike ate 2/3 of ¾ of the chocolate bar
2/3 of 3/4 = 2/3 × 3/4
= 2 × 3/3 × 4
= 1/2
Therefore, Mike ate 1/2 of the chocolate bar.
4. If I sleep 6 hours daily, then what part of a day I spend in sleeping?
Solution:
Time spend in sleeping a day = 6 hours then the part of a day I spend in sleeping = 6 hours/1 day
1 day = 24 hours
Therefore, required fraction = 6 hours/24 hours = 1/4.
● Multiplication is Repeated Addition.
● Multiplication of Fractional Number by a Whole Number.
● Multiplication of a Fraction by Fraction.
● Properties of Multiplication of Fractional Numbers.
● Worksheet on Multiplication on Fraction.
● Division of a Fraction by a Whole Number.
● Division of a Fractional Number.
● Division of a Whole Number by a Fraction.
● Properties of Fractional Division.
● Worksheet on Division of Fractions.
● Simplification of Fractions.
● Worksheet on Simplification of Fractions.
● Worksheet on Word Problems on Fractions.
5th Grade Numbers
5th Grade Math Problems
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