Worksheet on Equivalent Fractions of a Fractional Number

Practice the worksheet on equivalent fractions of a fractional number. The questions are based on the fractions to make the fractions equivalent and among the pairs of fractions find which are equivalent.

1. Write three equivalent fractions of the following fractions:

(i) \(\frac{7}{8}\)

(ii) \(\frac{50}{75}\)

(iii) \(\frac{27}{81}\)

(iv) \(\frac{2}{7}\)

(v) \(\frac{5}{9}\)

(vi) \(\frac{24}{36}\)

2. Which of the following pairs of fractions are equivalent?

(i) \(\frac{1}{3}   and   \frac{3}{9}\)

(ii) \(\frac{1}{3}   and   \frac{3}{9}\)

(iii) \(\frac{1}{3}   and   \frac{3}{9}\)

(iv) \(\frac{1}{3}   and   \frac{3}{9}\)

(v) \(\frac{1}{3}   and   \frac{3}{9}\)

(vi) \(\frac{1}{3}   and   \frac{3}{9}\)

3. Fill in the blanks to make the fractions equivalent:

(i) \(\frac{7}{9}  =  \frac{......}{18}\)

(ii) \(\frac{1}{2}  =  \frac{8}{......}\)

(iii) \(\frac{12}{15}  =  \frac{4}{......}\)

(iv) \(\frac{20}{......}  =  \frac{4}{6}\)

(v) \(\frac{15}{20}  =  \frac{3}{......}\)

(vi) \(\frac{3}{4}  =  \frac{......}{16}\)

4. Write the equivalent fraction of each of the following with numerator 32:

(i) \(\frac{4}{5}\)

(ii) \(\frac{16}{15}\)

(iii) \(\frac{8}{11}\)

(iv) \(\frac{2}{9}\)

5. Write the equivalent fraction of each of the following with denominator 24:

(i) \(\frac{5}{6}\)

(ii) \(\frac{7}{4}\)

(iii) \(\frac{1}{3}\)

(iv) \(\frac{7}{12}\)

Answers for the worksheet on equivalent fractions of a fractional number are given below to check the exact answers of the above questions on fractions.

Answers:

1. (i) \(\frac{14}{16},  \frac{21}{24},  \frac{35}{40}\)

(ii) \(\frac{10}{15},  \frac{2}{3},  \frac{14}{21}\)

(iii) \(\frac{3}{9},  \frac{1}{3},  \frac{2}{6}\)

(iv) \(\frac{4}{14},  \frac{6}{21},  \frac{10}{35}\)

(v) \(\frac{10}{18},  \frac{15}{27},  \frac{25}{45}\)

(vi) \(\frac{12}{18},  \frac{2}{3},  \frac{6}{9}\)

2. (i) equivalent

(ii) not equivalent

(iii) equivalent

(iv) not equivalent

(v) equivalent

(vi) equivalent

3. (i) 14

(ii) 16

(iii) 5

(iv) 30

(v) 4

(vi) 12

4. (i) \(\frac{32}{40}\)

(ii) \(\frac{32}{30}\)

(iii) \(\frac{32}{44}\)

(iv) \(\frac{32}{144}\)

5. (i) \(\frac{20}{24}\)

(ii) \(\frac{42}{24}\)

(iii) \(\frac{8}{24}\)

(iv) \(\frac{14}{24}\)

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