Answer :
To solve the problem [tex]\(\frac{32}{40} \times \frac{400}{1}\)[/tex], let's go through the steps one by one:
1. Simplify the First Fraction: We start with [tex]\(\frac{32}{40}\)[/tex]. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 8.
[tex]\[
\frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]
2. Convert to Decimal or Simplify the Calculation: [tex]\(\frac{4}{5}\)[/tex] is equivalent to 0.8. You can multiply fractions directly or convert them to decimals for easier multiplication with large numbers.
3. Deal with the Second Fraction: The second fraction is [tex]\(\frac{400}{1}\)[/tex], which is simply 400 when expressed as a whole number.
4. Multiply the Results Together: Now we multiply the simplified result from the first fraction (0.8) by 400.
[tex]\[
0.8 \times 400 = 320
\][/tex]
So, the result of [tex]\(\frac{32}{40} \times \frac{400}{1}\)[/tex] is 320.
1. Simplify the First Fraction: We start with [tex]\(\frac{32}{40}\)[/tex]. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 8.
[tex]\[
\frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]
2. Convert to Decimal or Simplify the Calculation: [tex]\(\frac{4}{5}\)[/tex] is equivalent to 0.8. You can multiply fractions directly or convert them to decimals for easier multiplication with large numbers.
3. Deal with the Second Fraction: The second fraction is [tex]\(\frac{400}{1}\)[/tex], which is simply 400 when expressed as a whole number.
4. Multiply the Results Together: Now we multiply the simplified result from the first fraction (0.8) by 400.
[tex]\[
0.8 \times 400 = 320
\][/tex]
So, the result of [tex]\(\frac{32}{40} \times \frac{400}{1}\)[/tex] is 320.
