Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single fraction in simplest form. 325p33\frac{3}{2} - \frac{5p^3}{3} ______

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. 325p33\frac{3}{2} - \frac{5p^3}{3} ______
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 22 and 33. The LCM is 66.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 33\frac{3}{3} and the second fraction by 22\frac{2}{2}. This gives us (32)(33)(5p33)(22)\left(\frac{3}{2}\right)\left(\frac{3}{3}\right) - \left(\frac{5p^3}{3}\right)\left(\frac{2}{2}\right).
  3. Perform multiplication for both fractions: Perform the multiplication for both fractions to get common denominators. This results in (3×3)/(2×3)(5p3×2)/(3×2)(3 \times 3)/(2 \times 3) - (5p^3 \times 2)/(3 \times 2), which simplifies to 9/610p3/69/6 - 10p^3/6.
  4. Simplify the expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (910p3)/6(9 - 10p^3)/6.

More problems from Add and subtract rational expressions