Quotient of 3/4 and 5/6

To find the quotient of 3/4 ÷ 5/6, we can follow the steps given below. These steps make the division process simple.

Step 1: Write the division of fractions as a multiplication by the reciprocal. So, 3/4 ÷ 5/6 becomes 3/4 × 6/5.

Step 2: Multiply the numerators: 3 × 6 = 18.

Step 3: Multiply the denominators: 4 × 5 = 20.

Step 4: Simplify the fraction 18/20 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 18/20 simplifies to 9/10.

Step 5: Check the answer by performing the multiplication: 9/10 × 5/6 should equal 3/4.

Multiply the numerators: 9 × 5 = 45.

Multiply the denominators: 10 × 6 = 60.

Simplify 45/60 to 3/4, confirming the quotient is correct.

• Quotient: The result we get after dividing two numbers.

• Reciprocal: A reciprocal of a number is 1 divided by that number. For a fraction, it involves swapping the numerator and the denominator.

• Numerator: The top number of a fraction, representing the part of the whole.

• Denominator: The bottom number of a fraction, representing the total number of equal parts.

• Greatest Common Divisor: The largest number that divides two or more numbers without leaving a remainder.