Full solution

\frac{79}{40}-162.5 \%=

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Enter the answer as an exact decimal or simplified fraction.

Convert to decimal: Convert the percentage to a decimal. $\newline$ To convert a percentage to a decimal, divide by $100$ . $\newline$ $162.5\% = \frac{162.5}{100} = 1.625$
Rewrite using decimal: Rewrite the original problem using the decimal. $\newline$ The original problem is $(79/40) - 162.5\%$ , which can now be written as $(79/40) - 1.625$ .
Convert fraction to decimal: Convert the fraction to a decimal to perform the subtraction. $\newline$ To convert the fraction $\frac{79}{40}$ to a decimal, divide the numerator by the denominator. $\newline$ $79 \div 40 = 1.975$
Subtract decimals: Subtract the decimal equivalent of $162.5\%$ from the decimal equivalent of $\frac{79}{40}$ . Now subtract $1.625$ from $1.975$ . $1.975 - 1.625 = 0.35$
Check simplified fraction: Check if the result can be expressed as a simplified fraction. $\newline$ The decimal $0.35$ is equivalent to the fraction $\frac{35}{100}$ , which can be simplified by dividing both the numerator and the denominator by the greatest common divisor, which is $5$ . $\newline$ $35 \div 5 = 7$ $\newline$ $100 \div 5 = 20$ $\newline$ So, $0.35$ as a simplified fraction is $\frac{7}{20}$ .