What is 7/8÷3/4 ?(1 point) Responses
(7/8) ÷ (3/4) can be solved by multiplying the first fraction by the reciprocal of the second fraction.
To do this, we first find the reciprocal of 3/4, which is 4/3.
Then we multiply 7/8 by 4/3:
(7/8) * (4/3) = (7*4) / (8*3) = 28/24 = 7/6.
So, 7/8 ÷ 3/4 = 7/6.
To solve the division of fractions problem 7/8 ÷ 3/4, we can follow these steps:
Step 1: Invert the second fraction. This means swapping the numerator and the denominator. So, the expression becomes 7/8 ÷ 4/3.
Step 2: Change the division sign to multiplication. This is because division by a fraction can be rewritten as multiplication by its reciprocal. So, the expression becomes 7/8 × 4/3.
Step 3: Multiply the numerators together. Multiply 7 and 4 to get 28.
Step 4: Multiply the denominators together. Multiply 8 and 3 to get 24.
Step 5: Simplify the fraction, if possible. In this case, we can simplify the fraction 28/24 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4. This gives us 7/6.
Therefore, 7/8 ÷ 3/4 is equal to 7/6.
To divide fractions, you can multiply the dividend by the reciprocal of the divisor.
Step 1: Find the reciprocal of 3/4. The reciprocal is found by flipping the fraction, so the reciprocal of 3/4 is 4/3.
Step 2: Multiply the dividend (7/8) by the reciprocal (4/3).
(7/8) * (4/3) = (7 * 4) / (8 * 3) = 28/24
Step 3: Simplify the fraction if possible. Since both 28 and 24 are divisible by 4, we can divide both numerator and denominator by 4.
28/24 = (28/4) / (24/4) = 7/6
Therefore, 7/8 ÷ 3/4 is equal to 7/6.