what is 7/8 divided by 3/4
1.32/21
2.21/32
3.7/6
4.6/7
To divide fractions, we multiply the first fraction (7/8) by the reciprocal (also called the multiplicative inverse) of the second fraction (3/4).
Reciprocal of 3/4 = 4/3
7/8 ÷ 3/4 = 7/8 * 4/3
Multiplying the numerators gives: 7 * 4 = 28
Multiplying the denominators gives: 8 * 3 = 24
So, the answer is 28/24.
Simplifying the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4, gives:
28 ÷ 4 / 24 ÷ 4 = 7/6
Therefore, the correct answer is 3. 7/6.
To divide two fractions, we can use the following formula:
(a/b)/(c/d) = (a/b) * (d/c)
In this case, we want to divide 7/8 by 3/4. Let's substitute the values into the formula:
(7/8)/(3/4) = (7/8) * (4/3)
Now, let's multiply the numerators together (7 * 4) and the denominators together (8 * 3):
(7/8) * (4/3) = (28/24)
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:
(28/24) = (7/6)
So, the answer is 7/6. Therefore, option 3 - 7/6 - is the correct answer.
To divide fractions, you can follow the steps below:
1. To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
2. The reciprocal of a fraction is obtained by flipping the numerator and denominator. So, the reciprocal of 3/4 is 4/3.
3. Multiply the first fraction (7/8) by the reciprocal of the second fraction (4/3).
(7/8) * (4/3) = 28/24
4. Simplify the resulting fraction if possible. In this case, both the numerator and denominator are divisible by 4.
(28/4) / (24/4) = 7/6
Therefore, the answer is 7/6.