Question

Evaluate : 4/3÷7/3x20/21​

Answer 1

80/147

Step-by-step explanation:

$\dfrac{4}{3} \div\dfrac{7}{3} \times \dfrac{20}{21}$

We can write 4/3 and 7/3 as

$\sf{ = \dfrac{4}{3} \times \dfrac{3}{7} \times \dfrac{20}{21} }$

We have done here reciprocal as ÷ changes into ×

Now cancelling 3 by 3

$\sf{ = \dfrac{4}{\cancel{3}} \times \dfrac{ \cancel3}{7} \times \dfrac{20}{21} }$

Now after cancellation it can be written as

$\sf{ = \dfrac{4}{7} \times \dfrac{20}{21} }$

Now we cannot cancel so multiplying numerator by numerator and denominator by denominator

$\sf{ = \dfrac{4 \times 20}{7 \times 21} }$

On multiplying it can be written as

$\sf{ = \dfrac{80}{147} = 0.54(approx.)}$

Hence, solved! ✓.