In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced by the students to get more ideas on fractions.
1. Answer the following questions for each given shape:
(a)
(b)
(c)
(d)
(e)
(i) How many equals are there in each shape?
(ii) Express each equal part as a fraction.
(iii) Express the shaded part as a fraction.
(iv) Express each unshaded part as a fraction.
2. Write the fraction for the objects in the shaded part of the closed figure as a part of the whole collection.
3. Write the following fractions in words:
(i) 5/9 (five-ninth, five upon nine)
(ii) 3/7
(iii) 2/11
(iv) 4/7
(v) 7/14
(vi) 9/13
(vii) 3/10
4. Fill in the blanks:
(i) For two parts out of seven we say ‘two-seventh’ and write 2/7.
(ii) For ‘four parts out of five’ we say ……………… and write ……………….. .
(iii) For ‘nine parts out of seventeen’ we say …………… and write ………….. .
(iv) For ‘three parts out of six’ we say ……………… and write ……………… .
5. Draw pictures to show the following:
(i) five-eighth of a collection
(ii) five-twelfth of a collection
(iii) four-ninth of a rectangular shape
(iv) three-fourth of a square
6. Change into an equivalent fraction with denominator 32.
(i) \(\frac{3}{4}\)
(ii) \(\frac{5}{8}\)
(iii) \(\frac{1}{2}\)
(iv) \(\frac{9}{16}\)
7. Fill in each box with >, < or = to make the statements true:
(i) \(\frac{3}{4}\) □ \(\frac{4}{3}\)
(ii) \(\frac{7}{8}\) □ \(\frac{4}{5}\)
(iii) \(\frac{5}{6}\) □ \(\frac{15}{18}\)
(iv) \(\frac{15}{13}\) □ \(\frac{15}{11}\)
(v) \(\frac{20}{32}\) □ \(\frac{1}{2}\)
(vi) \(\frac{7}{8}\) □ \(\frac{7}{10}\)
8. Reduce the following fractions into their lowest terms:
(i) \(\frac{12}{18}\)
(ii) \(\frac{24}{36}\)
(iii) \(\frac{62}{96}\)
(iv) \(\frac{40}{120}\)
(v) \(\frac{40}{56}\)
9. Add the following fractions:
(i) \(\frac{2}{4}\) + \(\frac{1}{4}\)
(ii) \(\frac{7}{10}\) + \(\frac{3}{10}\)
(iii) \(\frac{1}{4}\) + \(\frac{1}{4}\)
(iv) \(\frac{3}{14}\) + \(\frac{1}{14}\) + \(\frac{4}{14}\)
(v) \(\frac{3}{18}\) + \(\frac{1}{18}\) + \(\frac{7}{18}\)
(vi) \(\frac{6}{30}\) + \(\frac{4}{30}\)
(vii) \(\frac{4}{14}\) + \(\frac{8}{14}\) + \(\frac{2}{14}\)
(viii) \(\frac{8}{15}\) + \(\frac{1}{15}\) + \(\frac{3}{15}\)
10. Subtract the following fractions.
(i) \(\frac{9}{14}\) - \(\frac{4}{14}\)
(ii) \(\frac{5}{30}\) - \(\frac{4}{30}\)
(iii) \(\frac{7}{12}\) - \(\frac{2}{12}\)
(iv) \(\frac{8}{34}\) - \(\frac{5}{34}\)
11. Which of the following are proper fractions?
(i) \(\frac{4}{3}\)
(ii) \(\frac{7}{11}\)
(iii) \(\frac{6}{19}\)
(iv) \(\frac{5}{11}\)
(v) \(\frac{15}{11}\)
(vi) \(\frac{14}{8}\)
(vii) \(\frac{12}{17}\)
(viii) \(\frac{23}{24}\)
(ix) \(\frac{9}{8}\)
(x) \(\frac{6}{2}\)
Answer:
3. (ii) three-seventh, three upon seven
(iii) two-eleventh, two upon eleven
(iv) four-seventh, four upon seven
(v) seven-fourteenth, seven upon fourteen
(vi) nine-thirteenth, nine upon thirteen
(vii) three-tenth, three upon ten
4. (ii) four-fifth, 4/5
(iii) nine-seventeenth, 9/17
(iv) three-sixth, 3/6
6. (i) \(\frac{24}{32}\)
(ii) \(\frac{20}{32}\)
(iii) \(\frac{16}{32}\)
(iv) \(\frac{18}{32}\)
7. (i) <
(ii) <
(iii) =
(iv) <
(v) <
(vi) >
8. (i) \(\frac{2}{3}\)
(ii) \(\frac{2}{3}\)
(iii) \(\frac{31}{48}\)
(iv) \(\frac{1}{3}\)
(v) \(\frac{5}{7}\)
9. (i) \(\frac{3}{4}\)
(ii) \(\frac{10}{10}\) = 1
(iii) \(\frac{2}{4}\) = \(\frac{1}{2}\)
(iv) \(\frac{8}{14}\) = \(\frac{4}{7}\)
(v) \(\frac{11}{18}\)
(vi) \(\frac{10}{30}\) = \(\frac{1}{3}\)
(vii) \(\frac{14}{14}\) = 1
(viii) \(\frac{12}{15}\) = \(\frac{4}{5}\)
10. (i) \(\frac{5}{14}\)
(ii) \(\frac{1}{30}\)
(iii) \(\frac{5}{12}\)
(iv) \(\frac{3}{34}\)
11. (ii), (iii), (iv), (vii), (viii) are proper fractions because numerators are less than the denominators.
If students have any queries regarding the Worksheet on expanded form of a number questions please fill-up the comment box so that we can help you.
However, suggestions for further improvement, from all quarters would be greatly appreciated.
● Fractional Numbers - worksheets
Worksheet on Equivalent Fractions.
Worksheet on Comparison of Like Fractions.
Worksheet on Conversion of Fractions.
Worksheet on Changing Fractions.
Worksheet on Types of Fractions.
Worksheet on Reducing Fraction.
Worksheet on Addition of Fractions having the Same Denominator.
Worksheet on Subtraction of Fractions having the Same Denominator.
Worksheet on Add and Subtract Fractions.
Worksheet on Fractional Numbers.
4th Grade Math Worksheets
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