Question

Olivia has planted a flower which grows 2 cm per day. Calculate the number of days taken by flower to grow upto $7\frac{1}{3}$cm?

• A. $\frac{11}{3}$
• B. $\frac{3}{11}$
• C. $\frac{14}{3}$

Answer 1

The correct option is A $\frac{11}{3}$

Step 1: Convert the Mixed fraction into an improper fraction.
$7\frac{1}{3}=\frac{7\times 3+1}{3}=\frac{22}{3}$

Length of the flower grows each day $=2cm$
Total length of the flower $=7\frac{1}{3}cm$

$=\frac{22}{3}cm$

Step 2: Number of days taken by flower to grow upto $\frac{22}{3}$ cm = Total length of flower $÷$ Length of flower grows per day
$=\frac{22}{3}÷2$
We can write 2 as $\frac{2}{1}$
$\therefore \frac{22}{3}÷2=\frac{22}{3}÷\frac{2}{1}$

Step 3: Take a reciprocal of the second fraction and multiply with the first fraction

$\frac{22}{3}÷\frac{3}{1}=\frac{22}{3}\times \frac{1}{2}$

$=\frac{2\times 11}{3\times 2}$

$=\frac{11}{3}\text{days}$

Hence, Flower took $\frac{11}{3}$ days to grow upto $7\frac{1}{3}$cm.