Question

Complete the following series using an equivalent fraction.

$\frac{7}{28},\frac{14}{56},\frac{21}{84},\frac{28}{112},\underline{},\underline{},\underline{}$

Answer 1

Finding the next equivalent fractions:

Equivalent fractions: The equivalent fraction can be defined as fractions that may have different numerators and denominators but they represent the same value.

We can find its equivalent fraction by multiplying both numerator and denominator with the same number.

Example: $\frac{9}{12}$ and $\frac{6}{8}$ are equivalent fractions because both are equal are to $\frac{3}{4}$ when simplified.

Given : $\frac{7}{28},\frac{14}{56},\frac{21}{84},\frac{28}{112},\underline{},\underline{},\underline{}$

$\frac{7}{28},\frac{14}{56}=\frac{7\times 2}{28\times 2},\frac{21}{84}=\frac{7\times 3}{28\times 3},\frac{28}{112}=\frac{7\times 4}{28\times 4}$

Thus, next fractions will be

$\frac{7\times 5}{28\times 5},\frac{7\times 6}{28\times 6},\frac{7\times 7}{28\times 7}$

Therefore, the equivalent fractions are $\frac{7}{28},\frac{14}{56},\frac{21}{84},\frac{28}{112},\frac{35}{140},\frac{42}{168},\frac{49}{196}$