Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(11)/(10)÷(5)/(3)=

1110÷53= \frac{11}{10} \div \frac{5}{3}=

Full solution

Q. 1110÷53= \frac{11}{10} \div \frac{5}{3}=
  1. Multiply by Reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of (53)(\frac{5}{3}) is (35)(\frac{3}{5}).\newlineSo, (1110)÷(53)=(1110)×(35)(\frac{11}{10}) \div (\frac{5}{3}) = (\frac{11}{10}) \times (\frac{3}{5}).
  2. Multiply Numerators and Denominators: Now, we multiply the numerators together and the denominators together.\newline(11×3)/(10×5)=33/50(11 \times 3) / (10 \times 5) = 33 / 50.
  3. Simplify Fraction: The fraction 3350\frac{33}{50} is already in its simplest form, as 3333 and 5050 have no common factors other than 11.

More problems from Operations with rational exponents