Question

The shaded part ofthe following strip shows

• A. $\frac{2}{7}-\frac{1}{7}+\frac{2}{7}=\frac{3}{7}$
• B. $\frac{2}{7}+\frac{1}{7}-\frac{2}{7}=\frac{1}{7}$
• C. $\frac{2}{7}+\frac{1}{7}=\frac{3}{7}$
• D. $\frac{2}{7}+\frac{1}{7}+\frac{2}{7}=\frac{5}{7}$

Answer 1

Answer: (D)

The correct option is D $\frac{2}{7}+\frac{1}{7}+\frac{2}{7}=\frac{5}{7}$
Shaded part with checks is $2$ parts out of $7$ parts
Shaded part with oblique lines from top right to bottom left is $2$ parts out of $7$ parts
Shaded part with vertical lines is $1$ part out of $7$ parts
Hence, fraction of the shaded region to unshaded part is $\frac{2}{7}+\frac{1}{7}+\frac{2}{7}=\frac{5}{7}$