What is 7/8 ÷ 3/4
To divide fractions, you need to "invert and multiply."
First, invert the second fraction by flipping the numerator and denominator: 3/4 becomes 4/3.
Next, multiply the fractions:
7/8 multiplied by 4/3 equals (7*4)/(8*3) = 28/24.
However, this fraction can be further simplified by dividing both the numerator and denominator by their common factor, which is 4.
Thus, 28/24 simplifies to (28/4) ÷ (24/4) = 7/6.
So, 7/8 ÷ 3/4 is equal to 7/6.
To divide one fraction by another, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by flipping the numerator and denominator.
So, the reciprocal of 3/4 would be 4/3.
Now, we can multiply the first fraction 7/8 by the reciprocal 4/3:
(7/8) * (4/3)
To multiply fractions, simply multiply the numerators together and the denominators together:
(7 * 4) / (8 * 3)
This simplifies to:
28 / 24
To simplify the fraction further, we can find the greatest common divisor (GCD) of both numbers, which is 4:
28 ÷ 4 / 24 ÷ 4
This simplifies to:
7/6
Therefore, 7/8 ÷ 3/4 is equal to 7/6.
To find the quotient of two fractions, you need to follow these steps:
Step 1: Flip the second fraction (the divisor) and change the division sign to multiplication. In this case, we have 3/4 ÷ 7/8, so we flip 7/8 to get 8/7.
Step 2: Multiply the first fraction (the dividend) by the flipped second fraction. Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
So, we have (7/8) * (8/7). Multiplying the numerators gives us 7 * 8 = 56, and multiplying the denominators gives us 8 * 7 = 56.
Step 3: Simplify the resulting fraction, if possible. In this case, the resulting fraction is 56/56. Since the numerator and denominator are the same, the fraction is equal to 1.
Therefore, 7/8 ÷ 3/4 is equal to 1.