Question

solve these questions step by step class 7 with complete explanation​

Answer 1

Answer:

8.

$1 \times \frac{1}{3}$

9. Area of square = (289/9) cm^2

Step-by-step explanation:

8. let the number be x

$\frac{6 \times \frac{2}{9} }{x} = 4 \times \frac{2}{3}$

$x = \frac{6 \times \frac{2}{9} }{4 \times \frac{2}{3} }$

$x = \frac{ \frac{56}{9} }{ \frac{14}{3} }$

$x = \frac{56}{9} \times \frac{3}{14}$

$x = \frac{4}{3} = 1 \times \frac{1}{3}$

Divide the number 6(2/9) by 1(1/3) to get 4(2/3)

9. side of square = 5(2/3) cm = 17/3 cm

Area of square = (17/3) × (17/3) = 289/9 cm^2

Answer 2

Step-by-step explanation:

8.

$we \: need \: to \: multiply \: 6 \frac{2}{9} \times 4 \frac{2}{3} \: to \: get \\ the \: answer \: . \\ (6 \frac{2}{9} ) \times (4 \frac{2}{3} ) \\ = ( \frac{56}{9} ) \times ( \frac{14}{3} ) \\ = ( \frac{56}{9} \times \frac{14}{3} ) \\ = ( \frac{784}{27} ) = 29 \frac{1}{27}$

$verification \\ ( \frac{784}{27} \div 6 \frac{2}{9} ) \\ = ( \frac{784}{27} \div \frac{56}{9} ) \\ = ( \frac{784}{27} \times \frac{9}{56} ) \\ = \frac{14}{3} \times \frac{1}{1} \\ = 4 \frac{2}{3}$

$the \: number \: is \: 29 \frac{1}{27}$

$9. \: \: each \: side \: of \: a \: square \: is \: 5 \frac{2}{3} m \: \\ area \: of \: square \: is \: (side) {}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (5 \frac{2}{3} ) {}^{2} \: m {}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( \frac{17}{3} ) {}^{2} m {}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{289}{9} m {}^{2}$