Fraction operations flashcards

Question 1

What is a fraction in simplest form?

Accepted Answer

A fraction $\frac{a}{b}$ (with $b
eq 0$) is in simplest form when $\gcd(a,b)=1$, so the numerator and denominator have no common factor greater than 1.

Question 2

State the rule for subtracting fractions with different denominators.

Accepted Answer

$$\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}$$ where $b
eq 0$ and $d
eq 0$ (then simplify).

Question 3

Compute $2\frac{1}{4}\div\frac{3}{5}$.

Accepted Answer

Convert $2\frac{1}{4}=\frac{9}{4}$, then $$\frac{9}{4}\div\frac{3}{5}=\frac{9}{4}\cdot\frac{5}{3}=\frac{45}{12}=\frac{15}{4}=3\frac{3}{4}$$

Fraction operations flashcards

Master Math with AI

Learning Resources

Trusted & Recognized