What is 7/8÷3/4
A 6/7
B 21/32
C 32/21
or D 7/6
To divide fractions, we invert the second fraction (divisor) and then multiply the fractions.
In this case, 7/8 ÷ 3/4 can be written as 7/8 x 4/3.
Multiplying the numerators gives 7 x 4 = 28.
Multiplying the denominators gives 8 x 3 = 24.
Therefore, 7/8 ÷ 3/4 equals 28/24.
Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (4), we get:
28 ÷ 4 / 24 ÷ 4 = 7/6.
So the correct answer is D) 7/6.
To solve this problem, you need to remember the rules for dividing fractions.
To divide fractions, you multiply the first fraction by the reciprocal (or the inverse) of the second fraction.
The reciprocal of a fraction is found by flipping the numerator and denominator.
So, in this case, you would have:
7/8 ÷ 3/4
To find the reciprocal of 3/4, you flip it, which gives you 4/3.
Now you can multiply:
7/8 × 4/3
Multiplying the numerators and denominators, you get:
(7 × 4) / (8 × 3)
This simplifies to:
28/24
To simplify further, you need to find the greatest common divisor (GCD) of 28 and 24, which is 4.
Dividing both the numerator and denominator by 4, you get:
28 ÷ 4 / 24 ÷ 4
This simplifies to:
7/6
Therefore, the answer is option D: 7/6.
To solve the division problem 7/8 ÷ 3/4, you can follow these steps:
Step 1: Invert the divisor. The divisor is 3/4. To invert it, swap the numerator and denominator, giving us 4/3.
Step 2: Multiply the dividend by the inverted divisor. The dividend is 7/8. Multiply 7/8 by 4/3.
(7/8) * (4/3) = (7 * 4) / (8 * 3) = 28/24.
Step 3: Simplify the fraction, if possible. In this case, the fraction 28/24 can be simplified.
Divide both the numerator and the denominator by their greatest common divisor, which is 4.
(28 ÷ 4) / (24 ÷ 4) = 7/6.
Therefore, the answer to the division problem 7/8 ÷ 3/4 is D) 7/6.