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(6/5-3/4)*2/3

less than a minute read Jun 16, 2024
(6/5-3/4)*2/3

Simplifying (6/5 - 3/4) * 2/3

This expression involves several operations, so we need to follow the order of operations (PEMDAS/BODMAS) to simplify it correctly:

1. Parentheses/Brackets:

  • First, we need to calculate the expression inside the parentheses: (6/5 - 3/4).
  • To subtract fractions, they need to have the same denominator. The least common multiple of 5 and 4 is 20.
  • (6/5 - 3/4) = (64/54 - 35/45) = (24/20 - 15/20) = 9/20.

2. Multiplication:

  • Now we have 9/20 * 2/3.
  • To multiply fractions, we multiply the numerators and the denominators: (9 * 2) / (20 * 3) = 18/60.

3. Simplifying:

  • Finally, we can simplify the fraction 18/60 by dividing both the numerator and denominator by their greatest common factor, which is 6: 18/60 = 3/10.

Therefore, (6/5 - 3/4) * 2/3 simplifies to 3/10.

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