In 5th Grade Fractions Worksheets we will solve how to compare two fractions, comparing mixed fractions, addition of like fractions, addition of unlike fractions, addition of mixed fractions, word problems on addition of fractions, subtraction of like fractions, subtraction of unlike fractions, word problems on subtraction of fractions, multiplications of fractions, word problems on multiplication of fractions, fraction of fraction, reciprocal of fractions, division of fractions, word problems on division of fractions.
I. Answer the following:
1. The reciprocal of 7\(\frac{1}{8}\) is ………….. .
2. 8 boys shared \(\frac{2}{5}\) of a cake equally. What fraction of the cake did each boy get?
3. Which is greater 5\(\frac{1}{7}\) or 3\(\frac{1}{7}\)?
4. What is the half of 60?
5. Find the difference between the sum and product of 2\(\frac{1}{4}\) and 1\(\frac{4}{5}\).
6. Which is greater \(\frac{23}{25}\) or 1?
7. If \(\frac{17}{19}\) of the cup is filled, then what fraction of the cup is empty?
8. A family eats 1\(\frac{2}{3}\) cakes in a meal. Will 3 cakes be enough for 2 meals?
Operations on Fractions
II. Solve the given:
(i) \(\frac{7}{10}\) + \(\frac{3}{10}\)
(ii) \(\frac{14}{25}\) - \(\frac{9}{25}\)
(iii) \(\frac{5}{7}\) + \(\frac{13}{28}\) + \(\frac{3}{4}\)
(iv) 7 - \(\frac{3}{12}\)
(v) \(\frac{8}{15}\) + \(\frac{19}{30}\) - \(\frac{4}{5}\)
(vi) \(\frac{16}{44}\) ÷ \(\frac{8}{11}\)
(vii) \(\frac{6}{31}\) × \(\frac{62}{18}\)
(viii) \(\frac{24}{50}\) ÷ \(\frac{8}{25}\)
(ix) \(\frac{13}{18}\) ÷ \(\frac{39}{36}\)
Fraction of a Fraction
III. Find the given:
(i) \(\frac{2}{10}\) of 40 mangoes
(ii) \(\frac{3}{15}\) of $75
(iii) \(\frac{3}{4}\) of 20 cups
(iv) \(\frac{3}{7}\) of 1 week
IV. Compare the given fractions and put the right sign <, > or =.
(i) \(\frac{3}{4}\) ……… \(\frac{5}{6}\)
(ii) \(\frac{5}{7}\) ……… \(\frac{15}{21}\)
(i) \(\frac{17}{34}\) ……… \(\frac{8}{32}\)
V. Convert the given fractions in lowest terms:
(i) \(\frac{15}{60}\)
(ii) \(\frac{22}{77}\)
(iii) \(\frac{18}{54}\)
(iv) \(\frac{36}{60}\)
(v) \(\frac{21}{63}\)
VI. Word Problems on Fractions:
1. The cost of comic is $57\(\frac{1}{2}\) and that of color book is $25\(\frac{1}{4}\). Which costs more and by how much?
2. Tom spent \(\frac{3}{5}\) of his money on bag and spent \(\frac{2}{7}\) of his money on stationary. What fraction of money is left with him?
3. Kate has $630. She wants to buy a bag that costs \(\frac{5}{9}\) of the amount she has. What should be the cost of the bag?
4. How many pieces of 2\(\frac{3}{4}\) m each can be cut from a string of 16\(\frac{1}{2}\) m length?
Answers on 5th Grade Fractions Worksheets are given below to check the exact answers of the questions.
Answers:
I. 1. \(\frac{8}{27}\)
2. \(\frac{1}{20}\)
3. 5\(\frac{1}{7}\)
4. 30
5. 0
6. 1
7. \(\frac{2}{19}\)
8. No, 3\(\frac{1}{3}\) cakes required
II. (i) 1
(ii) \(\frac{1}{5}\)
(iii) 1\(\frac{13}{14}\)
(iv) \(\frac{81}{12}\)
(v) \(\frac{11}{30}\)
(vi) \(\frac{1}{2}\)
(vii) \(\frac{2}{3}\)
(viii) \(\frac{3}{2}\)
(ix) \(\frac{2}{3}\)
III. (i) 8 mangoes
(ii) $65
(iii) 15 cups
(iv) 3 days
IV. (i) \(\frac{3}{4}\) < \(\frac{5}{6}\)
(ii) \(\frac{5}{7}\) = \(\frac{15}{21}\)
(i) \(\frac{17}{34}\) > \(\frac{8}{32}\)
V. (i) \(\frac{1}{4}\)
(ii) \(\frac{2}{7}\)
(iii) \(\frac{1}{3}\)
(iv) \(\frac{3}{5}\)
(v) \(\frac{1}{3}\)
VI. 1. Comic cost more, $32\(\frac{1}{4}\)
2. \(\frac{4}{35}\)
3. $350
4. 6
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