Questions: Subtract. Write the answer as a fraction simplified to lowest terms. 21/20 - 3/10 =

Solution Steps

To subtract the fractions, we need to find a common denominator. Once we have the common denominator, we can convert both fractions to have this common denominator, perform the subtraction, and then simplify the result to its lowest terms.

To subtract the fractions \(\frac{21}{20}\) and \(\frac{3}{10}\), we first need to find a common denominator. The least common multiple (LCM) of 20 and 10 is 20.

Convert \(\frac{3}{10}\) to a fraction with a denominator of 20: \[ \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} \]

Now that both fractions have the same denominator, we can subtract them: \[ \frac{21}{20} - \frac{6}{20} = \frac{21 - 6}{20} = \frac{15}{20} \]

Simplify \(\frac{15}{20}\) to its lowest terms by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 5: \[ \frac{15 \div 5}{20 \div 5} = \frac{3}{4} \]

Final Answer