Divide. Write the quotient in simplest form.
3/5 ÷ 2/10
6/10
3/5
3
5/15
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2/10 is 10/2.
So, 3/5 ÷ 2/10 = 3/5 * 10/2
Multiply the numerators: 3 * 10 = 30
Multiply the denominators: 5 * 2 = 10
The result is 30/10.
To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 10.
30 ÷ 10 = 3
10 ÷ 10 = 1
The simplified quotient is 3/1, which is equivalent to 3.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/10 is 10/2, which can be simplified to 5/1.
So, we have:
(3/5) ÷ (2/10) = (3/5) × (5/1)
Next, we simplify by canceling out common factors:
3/5 × 5/1 = (3 × 1) / (5 × 1) = 3/5
Therefore, the quotient is 3/5.
To divide fractions, we need to follow these steps:
Step 1: Keep the first fraction as it is.
3/5
Step 2: Change the division sign to multiplication.
3/5 *
Step 3: Take the reciprocal of the second fraction and write it as the divisor.
3/5 * 10/2
Step 4: Multiply across.
(3 * 10) / (5 * 2) = 30/10
Step 5: Simplify the fraction.
The numerator and denominator of 30/10 have a common factor of 10. By dividing both the numerator and denominator by 10, we get the simplest form of the fraction.
30/10 = 3/1 = 3
Therefore, the quotient of 3/5 ÷ 2/10 is 3/1, which can be simplified to just 3.