A fraction is made up of an integer numerator (the top number) and a non-zero integer denominator (the bottom number) and represents a portion of a whole.
Find: $\frac{7}{9} - \frac{2}{9}$
Step1:
Subtract numerators and keep the denominator the same
$\frac{7 - 2}{9}$
Step2:
Simplify the answer
$\frac{7 - 2}{9} = \frac{5}{9}$
Answer: $\frac{5}{9}$
Find: $5\frac{3}{4} - 1\frac{7}{10}$
Step1:
Rewrite the problem as
$\frac{23}{4} - \frac{17}{10}$
Step2:
Evaluate the least common denominator. As the LCM of 4 and 10 is 20, the LCD is 20. Rewrite the difference using the LCD
$\frac{23}{4} - \frac{17}{10} = \frac{23 \cdot 5}{4 \cdot 5} - \frac{17 \cdot 2}{10 \cdot 2}$
Step3:
Multiply
$\frac{115}{20} - \frac{34}{20}$
Step4:
Simplify
$\frac{81}{20} = 4\frac{1}{20}$
Answer: $4\frac{1}{20}$