Answer:
-41/20
Step-by-step explanation:
Hi there!
From the question, I believe you’re asking [tex]\frac{3}{4}[/tex] - [tex]2 \frac{4}{5}[/tex]
First, put the whole number 2 back into the fraction to create an improper fraction.
This would become [tex]\frac{14}{5}[/tex]. Now, we have to find a common denominator between the two fractions. Both 4 and 5 can go into 20, so that will be our common denominator. To turn [tex]\frac{3}{4}[/tex] into a fraction with a denominator of 20, we have to multiply both the numerator and denominator by 5. [tex]\frac{3}{4}[/tex] becomes [tex]\frac{15}{20}[/tex]. We do the same thing for [tex]\frac{14}{5}[/tex] except we multiply the numerator and denominator by 4. We end up with [tex]\frac{56}{20}[/tex]. Now we just have to subtract!
[tex]\frac{15}{20} - \frac{56}{20}[/tex] leaves us with [tex]- \frac{41}{20}[/tex] , which can’t be simplified any further.
