Question

Select the correct bar model to subtract
\(\dfrac{4}{5} − \dfrac{3}{10}.\)

Answer 1

Subtract \(\dfrac{4}{5} − \dfrac{3}{10}\).
For the fraction \(\dfrac{4}{5}\), the bar is divided into 5 equal partitions out of which 4 parts are shaded.
For the fraction \(\dfrac{3}{10}\), the bar is divided into 10 equal partitions out of which 3 parts are shaded.
Divide each partition of the first bar further into 2 equal parts; so, there will be a total of 10 equal partitions, and each partition will represent a fraction of \(\dfrac{1}{10}\).
\(\dfrac{4 \times 2}{5 \times 2} = \dfrac{8}{10}\)
\(\dfrac{4}{5}\) is represented as \(\dfrac{8}{10}\) when the number of partitions is 10.

\(\dfrac{8}{10} − \dfrac{3}{10} = \dfrac{5}{10}\)
(or)
\(\dfrac{4}{5} −\dfrac{3}{10} = \dfrac{5}{10}\)
Hence, Option C is correct.