Worksheet on Reducing Fraction
Practice the questions given in the math worksheet on reducing fraction to the lowest terms by using division. Fractional numbers are given in the questions to reduce to its lowest term.
1. Reduce to the lowest terms by division:
(a) \(\frac{2}{4}\)
(b) \(\frac{5}{15}\)
(c) \(\frac{4}{24}\)
(d) \(\frac{9}{45}\)
(e) \(\frac{7}{28}\)
(f) \(\frac{9}{30}\)
(g) \(\frac{8}{40}\)
(h) \(\frac{25}{50}\)
2. Is the fraction in the lowest term?
Write Yes or No. If No, reduce to the lowest term:
(a) \(\frac{5}{6}\)
(b) \(\frac{12}{15}\)
(c) \(\frac{9}{12}\)
(d) \(\frac{7}{11}\)
(e) \(\frac{8}{9}\)
(f) \(\frac{12}{14}\)
(g) \(\frac{6}{8}\)
(h) \(\frac{8}{13}\)
3. Reduce by using the Highest Common Factor:
(a) \(\frac{25}{75}\)
(b) \(\frac{42}{54}\)
(c) \(\frac{22}{88}\)
(d) \(\frac{52}{76}\)
(e) \(\frac{75}{100}\)
(f) \(\frac{96}{108}\)
(g) \(\frac{52}{68}\)
(h) \(\frac{72}{90}\)
4. Which of the following fractions is in its lowest term?
(i) \(\frac{4}{8}\)
(ii) \(\frac{14}{16}\)
(ⅲ) \(\frac{11}{13}\)
(iv) \(\frac{25}{140}\)
5. Reduce each of the following fractions in its lowest term:
(i) \(\frac{14}{42}\)
(ii) \(\frac{45}{65}\)
(iii) \(\frac{108}{220}\)
(iv) \(\frac{132}{264}\)
(v) \(\frac{78}{520}\)
(vi) \(\frac{182}{32}\)
(vii) \(\frac{140}{235}\)
(viii) \(\frac{242}{432}\)
Answers for the worksheet on reducing fraction to the lowest terms are given below to check the exact answers of the above questions.
Answers:
1. (a) \(\frac{1}{2}\)
(b) \(\frac{1}{3}\)
(c) \(\frac{1}{6}\)
(d) \(\frac{1}{5}\)
(e) \(\frac{1}{4}\)
(f) \(\frac{3}{10}\)
(g) \(\frac{1}{5}\)
(h) \(\frac{1}{2}\)
2. (a) Yes
(b) No, \(\frac{4}{5}\)
(c) No, \(\frac{3}{4}\)
(d) Yes
(e) Yes
(f) No, \(\frac{6}{7}\)
(g) No, \(\frac{3}{4}\)
(h) Yes
3. (a) \(\frac{1}{3}\)
(b) \(\frac{7}{9}\)
(c) \(\frac{1}{4}\)
(d) \(\frac{13}{19}\)
(e) \(\frac{3}{4}\)
(f) \(\frac{8}{9}\)
(g) \(\frac{13}{17}\)
(h) \(\frac{4}{5}\)
4. (i) \(\frac{1}{2}\)
(ii) \(\frac{7}{8}\)
(ⅲ) \(\frac{11}{13}\)
(iv) \(\frac{5}{28}\)
5. (i) \(\frac{1}{3}\)
(ii) \(\frac{9}{13}\)
(iii) \(\frac{27}{55}\)
(iv) \(\frac{1}{2}\)
(v) \(\frac{3}{20}\)
(vi) \(\frac{91}{16}\)
(vii) \(\frac{28}{47}\)
(viii) \(\frac{121}{216}\)
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