What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Two-thirds
StartFraction 5 Over 6 EndFraction
1 and one-fifth
3 and one-third

1 answer

To solve the problem of dividing two-thirds by 45, we can follow these steps:

  1. Write the expression: 23÷45

  2. Change division to multiplication: When dividing by a fraction, you can multiply by its reciprocal. The reciprocal of 45 is 54. Thus, we have: 23÷45=23×54

  3. Multiply the fractions: To multiply fractions, multiply the numerators and the denominators: 2×53×4=1012

  4. Simplify if necessary: We can simplify 1012 by dividing both the numerator and the denominator by 2: 10÷212÷2=56

Therefore, the result of 23÷45 is 56.

The correct answer is: 56.