Question
Multiply and reduce to lowest form (if possible).
$\frac{2}{3} \times 2 \frac{2}{3}$
$\frac{2}{3} \times 2 \frac{2}{3}$
✓
Answer
We have,
$\frac{2}{3} \times 2 \frac{2}{3}=\frac{2}{3} \times\left(\frac{2 \times 3+2}{3}\right)=\frac{2}{3} \times\left(\frac{6+2}{3}\right)$
$=\frac{2}{3} \times \frac{8}{3}=\frac{2 \times 8}{3 \times 3}=\frac{16}{9}=1 \frac{7}{9}$
$\frac{2}{3} \times 2 \frac{2}{3}=\frac{2}{3} \times\left(\frac{2 \times 3+2}{3}\right)=\frac{2}{3} \times\left(\frac{6+2}{3}\right)$
$=\frac{2}{3} \times \frac{8}{3}=\frac{2 \times 8}{3 \times 3}=\frac{16}{9}=1 \frac{7}{9}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Express the following ratios as percents: $1 : 5$
→→
$2.001 ÷ 0.003 =$ _____.
→Write a pair of integers whose sum gives: An integer greater than both the integers;
Convert following ratios into a percentage:$16 : 25$
→List five rational numbers between:
$-\frac{1}{2}$ and $\frac{2}{3}$
→$-\frac{1}{2}$ and $\frac{2}{3}$
Find
$(-55) \times 5$
→$(-55) \times 5$
Express the following numbers in standard form:
Number of stars in a galaxy = 100000000000.
Number of stars in a galaxy = 100000000000.
Aahuti purchased a house for $Rs. 5059700$ and spent $Rs. 40300$ on its repairing. To make a profit of $5\%,$ she should sell the house for $Rs.$_______.
→If $a = 2$ and $b = 3$, the find the values of the following:$\Big(\frac{\text{b}}{\text{a}}\Big)^{\text{b}}$
→