Divide. Write the quotient in simplest form.3/5 ÷ 2/10
6/10
3/5
3
5/15
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/10 is 10/2, which simplifies to 5.
So, 3/5 ÷ 2/10 is equal to 3/5 multiplied by 5/2.
Multiplying the numerators (3 * 5) and the denominators (5 * 2) gives us 15/10.
The fraction 15/10 can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 5.
Dividing 15/5 and 10/5 gives us 3/2.
Therefore, 3/5 ÷ 2/10 in simplest form is 3/2.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
First, let's find the reciprocal of 2/10. The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of 2/10 is 10/2.
Now, let's multiply the first fraction (3/5) by the reciprocal of the second fraction (10/2):
(3/5) * (10/2) = (3 * 10) / (5 * 2) = 30/10
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.
30/10 ÷ 10 = 3/1
So, the quotient of 3/5 ÷ 2/10 in simplest form is 3/1 or simply 3.
To divide fractions, you should follow these steps:
Step 1: Change the division sign to multiplication.
3/5 ÷ 2/10 can be rewritten as 3/5 * 10/2.
Step 2: Simplify both fractions, if possible.
We simplify 3/5 to its simplest form, which is already simplified.
We simplify 10/2 to 5/1.
Step 3: Multiply the fractions.
3/5 * 10/2 = (3 * 10) / (5 * 2) = 30/10.
Step 4: Simplify the resulting fraction.
The fraction 30/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10. When we divide 30 by 10, we get 3, and when we divide 10 by 10, we get 1.
Therefore, the simplified fraction is 3/1, which can also be written as 3.
So, the quotient of 3/5 ÷ 2/10 written in simplest form is 3.