Find the quotient of 9/10 / 2/3
To divide two fractions, we need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.
The reciprocal of a fraction is found by switching the numerator and the denominator. So, the reciprocal of 2/3 is 3/2.
Thus, we can rewrite the division as:
9/10 ÷ 2/3 = 9/10 * 3/2
To multiply fractions, we multiply the numerators together and the denominators together.
(9 * 3) / (10 * 2) = 27/20
Therefore, the quotient of 9/10 ÷ 2/3 is 27/20.
What is 3/10 / 1/3
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, to find 3/10 divided by 1/3:
3/10 ÷ 1/3 = 3/10 * 3/1
To multiply fractions, we multiply the numerators together and the denominators together.
(3 * 3) / (10 * 1) = 9/10
Therefore, the quotient of 3/10 divided by 1/3 is 9/10.
To find the quotient of two fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction a/b is b/a.
In this case, we want to find the quotient of 9/10 divided by 2/3.
So, the reciprocal of 2/3 is 3/2.
Now, multiply 9/10 by 3/2:
(9/10) * (3/2) = (9 * 3)/(10 * 2) = 27/20
Therefore, the quotient of 9/10 divided by 2/3 is 27/20.
To find the quotient of two fractions, you need to follow these steps:
Step 1: Invert the divisor (the second fraction). In this case, the second fraction is 2/3. So, its reciprocal (inverted form) is 3/2.
Step 2: Multiply the dividend (the first fraction) by the inverted form of the divisor. In this case, the first fraction is 9/10, and the inverted form of the divisor is 3/2. So, we have:
(9/10) * (3/2)
Step 3: Multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. Therefore, we get:
(9 * 3) / (10 * 2)
Step 4: Perform the multiplication operation on the numerator and the denominator separately. Here is the simplified equation:
27 / 20
So, the quotient of 9/10 divided by 2/3 is 27/20.