What is 7/8÷3/4 ?(1 point) Responses 7/6 Start Fraction 7 over 6 End Fraction 6/7 Start Fraction 6 over 7 End Fraction 21/32 Start Fraction 21 over 32 End Fraction 32/21 Start Fraction 32 over 21 End Fraction
To divide fractions, you need to invert the second fraction and multiply them together.
Thus, 7/8 ÷ 3/4 can be written as 7/8 × 4/3.
Multiplying the numerators (7 × 4) and the denominators (8 × 3) gives us 28/24.
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
Dividing both 28 and 24 by 4 gives us 7 and 6 respectively.
Therefore, 7/8 ÷ 3/4 is equal to 7/6.
To solve the expression 7/8 ÷ 3/4, you need to multiply the first fraction by the reciprocal of the second fraction.
Step 1: Find the reciprocal of 3/4.
Reciprocal of 3/4 = 4/3
Step 2: Multiply 7/8 by 4/3.
(7/8) * (4/3) = (7 * 4)/(8 * 3)
Step 3: Simplify the fraction.
28/24 can be simplified to 7/6.
Therefore, the answer is 7/6 or 7 over 6.
To solve the expression 7/8 ÷ 3/4, you can follow these steps:
Step 1: Understand the meaning of the division symbol (÷). Division is essentially the same as multiplying by the reciprocal of the second fraction.
Step 2: Find the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So, the reciprocal of 3/4 is 4/3.
Step 3: Multiply the first fraction (7/8) by the reciprocal of the second fraction (4/3). To multiply fractions, you simply multiply the numerators together and the denominators together.
So, multiplying 7/8 by 4/3:
(7/8) * (4/3) = (7 * 4) / (8 * 3) = 28/24.
Step 4: Simplify the resulting fraction. In this case, both the numerator and the denominator are divisible by 4:
28/4 = 7, and 24/4 = 6.
So, the simplified fraction is 7/6, which means the answer to 7/8 ÷ 3/4 is 7/6.