Question

by how much is 3/7 larger than 2%

Answer 1

Answer:

Step-by-step explanation:

2

Answer 2

The number $= \frac{143}{350}$

GIVEN:- 3/7 and 2%

TO FIND:- by how much is 3/7 larger than 2%

SOLUTION:-

• Percentage implies fraction or ratio expressed in terms of 100. Therefore 2℅ = 2/100

According to the question we need to find a number by which 3/7 is larger than 2%

Let the number by how much 3/7 is larger than 2% be x

$\frac{3}{7} - x = 2\% \\ \frac{3}{7} - x = \frac{2}{100} \\ \frac{3}{7} - \frac{2}{100} = x$

Making both the denominators equal by taking LCM

$\frac{3 \times 100}{7 \times 100} - \frac{2 \times 7}{100 \times 7} = x \\ \frac{300}{700} - \frac{14}{700} = x \\ \frac{300 - 14}{700} = x \\ \frac{286}{700} = x \\ x = \frac{143}{350}$

Hence, the number = $\frac{143}{350}$

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