What is 7/8÷3/4 ?
To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is found by flipping the numerator and denominator.
So, the reciprocal of 3/4 is 4/3.
Multiply 7/8 by 4/3:
(7/8) * (4/3) = (7*4) / (8*3) = 28/24.
Therefore, 7/8 ÷ 3/4 equals 28/24.
What is 7 / 8 ÷ 3 / 4 ?
To solve this expression, we need to follow the order of operations - parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).
Let's break it down step by step:
7 / 8 ÷ 3 / 4
First, we simplify 7 divided by 8: 7 / 8 = 7/8
Now we have: 7/8 ÷ 3 / 4
Next, we simplify 3 divided by 4: 3 / 4 = 3/4
Now we have: 7/8 ÷ 3/4
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, we can rewrite this expression as: 7/8 * 4/3
To multiply fractions, we multiply the numerators together and the denominators together.
Multiplying the numerators (7 * 4) gives 28, and multiplying the denominators (8 * 3) gives 24.
Therefore, the result is 28/24.
However, we should simplify the fraction. Both 28 and 24 are divisible by 4.
Dividing both the numerator and denominator by 4, we get: (28/4) / (24/4) = 7/6.
Therefore, 7 / 8 ÷ 3 / 4 equals 7/6.
To solve the division problem 7/8 ÷ 3/4, you need to follow a few simple steps.
Step 1: Understand the division of fractions
To divide fractions, you need to remember that division is the same as multiplying by the reciprocal of the divisor. In other words, to divide by a fraction, you multiply by its reciprocal.
Step 2: Find the reciprocal of the divisor
To find the reciprocal, simply swap (or interchange) the numerator and the denominator of the fraction. So, the reciprocal of 3/4 is 4/3.
Step 3: Multiply the dividend by the reciprocal of the divisor
Now that you have the reciprocal of 3/4, multiply the dividend, which is 7/8, by the reciprocal 4/3.
7/8 × 4/3 = (7 × 4)/(8 × 3)
Step 4: Simplify the fraction (if possible)
To simplify the fraction further, multiply the numerators (7 × 4) together and the denominators (8 × 3) together.
28/24
Step 5: Simplify the fraction by dividing both the numerator and denominator with their greatest common divisor (GCD)
To simplify the fraction further, divide both the numerator and the denominator by their GCD.
The GCD of 28 and 24 is 4. Divide 28 by 4 and 24 by 4.
28/24 = 7/6
Therefore, 7/8 ÷ 3/4 = 7/6.