what is 5/6 divided by 2/3 multiplied by 4/5 in simplest form?
(5/6) ÷ (2/3) * (4/5)
= (5/6)(3/2)(4/5)
= 60/60
= 1
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. In this case, we have (5/6) ÷ (2/3) multiplied by 4/5.
Step 1: Multiply the first fraction by the reciprocal of the second fraction.
To find the reciprocal of a fraction, swap the numerator and denominator. Therefore, the reciprocal of (2/3) is (3/2).
So, we have (5/6) × (3/2) × (4/5).
Step 2: Simplify numerator and denominator separately.
Multiply the numerators together to get the numerator of the result: 5 × 3 × 4 = 60.
Multiply the denominators together to get the denominator of the result: 6 × 2 × 5 = 60.
So, the fraction becomes 60/60.
Step 3: Reduce the fraction.
Since the numerator and denominator are equal, the fraction 60/60 can be simplified to 1.
Therefore, the simplified form of (5/6) ÷ (2/3) multiplied by 4/5 is 1.