Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
start fraction, 5, divided by, 6, end fraction, times, start fraction, 3, divided by, 5, end fraction
6
5
×
5
3
The simplified fraction is 1/2.
To perform the operation and simplify the answer, we follow the order of operations (PEMDAS) which states that we should perform the division first, and then multiply.
First, let's divide 5 by 6:
5 ÷ 6 = 5/6
Now, let's divide 3 by 5:
3 ÷ 5 = 3/5
Then, we multiply the two fractions together:
(5/6) × (3/5) = (5 × 3)/(6 × 5) = 15/30
To fully simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/30 ÷ 15/15 = 1/2
Therefore, the simplified fraction is 1/2.
To solve this problem, we need to follow the order of operations (PEMDAS/BODMAS).
Step 1: Simplify the division within the first fraction.
Start fraction 5 divided by 6 end fraction equals 5/6.
Step 2: Simplify the division within the second fraction.
Start fraction 3 divided by 5 end fraction equals 3/5.
Step 3: Multiply the two fractions.
(5/6) * (3/5) = (5 * 3) / (6 * 5) = 15/30.
Step 4: Simplify the resulting fraction.
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 15.
15/30 ÷ 15/15 = (1/2) ÷ (1/1) = 1/2.
Therefore, the simplified answer to the given expression is 1/2.