What is 35% of (42/7)% of 500?

Understand the Problem

The question is asking to calculate the value of 35% of (42/100 * 6/7) of 500. This involves converting percentages to decimals or fractions and performing a series of multiplication operations.

Answer

63

Steps to Solve

Convert percentages to fractions Convert 35% and 42% to fractions by dividing by 100. $35% = \frac{35}{100}$ $42% = \frac{42}{100}$
Set up the expression Write the complete expression replacing "of" with multiplication: $\frac{35}{100} \times \frac{42}{100} \times \frac{6}{7} \times 500$
Simplify by cancelling common factors Simplify the expression by canceling common factors before performing the multiplication.

$\frac{35}{100} \times \frac{42}{100} \times \frac{6}{7} \times 500 = \frac{35}{100} \times \frac{42}{100} \times \frac{6}{7} \times \frac{500}{1}$

$\frac{35}{100} \times \frac{42}{100} \times \frac{6}{7} \times \frac{500}{1} = \frac{35}{100} \times \frac{42}{1} \times \frac{6}{7} \times \frac{5}{1}$ (Dividing 500 by 100)

$\frac{35}{100} \times \frac{42}{1} \times \frac{6}{7} \times \frac{5}{1} = \frac{5}{100} \times \frac{42}{1} \times \frac{6}{1} \times \frac{5}{1}$ (Dividing 35 by 7)

$\frac{5}{100} \times \frac{42}{1} \times \frac{6}{1} \times \frac{5}{1}=\frac{1}{20} \times \frac{42}{1} \times \frac{6}{1} \times \frac{5}{1}$ (Dividing 5 by 5)

$\frac{1}{20} \times \frac{42}{1} \times \frac{6}{1} \times \frac{5}{1}=\frac{1}{4} \times \frac{42}{1} \times \frac{6}{1} \times \frac{1}{1}$ (Dividing 5 by 5)

Multiply the remaining terms Multiply the remaining terms: $\frac{1 \times 42 \times 6 \times 1}{4 \times 1 \times 1 \times 1} = \frac{252}{4}$
Divide to get the final answer Perform the division: $\frac{252}{4} = 63 $

More Information

The final results of the calculations is 63.

Tips

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