Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
start fraction, 4, divided by, 5, end fraction, divided by, 2
5
4
÷2
To solve this expression, we need to apply the division operation first and then simplify the resulting fraction.
Starting with the expression:
(4/5) ÷ 2
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2 is 1/2.
So, let's rewrite the expression:
(4/5) × (1/2)
When multiplying fractions, we multiply the numerators together and the denominators together.
4 × 1 = 4
5 × 2 = 10
Therefore, the simplified answer is 4/10.
However, we can further simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
4 ÷ 2 = 2
10 ÷ 2 = 5
So, the final answer is 2/5.
To solve this, we need to divide the fraction (4/5) by 2.
To do so, we can multiply the numerator (4) with the reciprocal of the denominator (5), then divide by 2:
(4/5) / 2 = (4/5) * (1/2)
To multiply fractions, we simply multiply the numerators together and the denominators together:
= (4 * 1) / (5 * 2)
= 4/10
Now, let's simplify this fraction. The greatest common divisor (GCD) of 4 and 10 is 2. By dividing both the numerator and denominator by 2, we can simplify the fraction:
= (4/2) / (10/2)
= 2/5
Therefore, the answer, expressed as a simplified fraction, is 2/5.
To simplify the expression (4/5) ÷ 2, we can follow these steps:
Step 1: Divide the numerator by the denominator inside the first fraction: 4 ÷ 5 = 4/5
Step 2: Divide the resulting fraction by 2: (4/5) ÷ 2 = (4/5) x (1/2)
Step 3: Multiply the numerators together: 4 x 1 = 4
Step 4: Multiply the denominators together: 5 x 2 = 10
Step 5: Simplify the resulting fraction, if possible. In this case, 4/10 can be simplified by dividing both the numerator and denominator by their largest common factor, which is 2.
4 ÷ 2 = 2
10 ÷ 2 = 5
Therefore, the simplified answer is 2/5.