Quotient of 2/3 and 5/6

To find the quotient of 2/3 ÷ 5/6, we can follow the steps given below. These steps make the division of fractions simple.

Step 1: Write the division as a multiplication problem by taking the reciprocal of the second fraction. So, 2/3 ÷ 5/6 becomes 2/3 × 6/5.

Step 2: Multiply the numerators: 2 × 6 = 12.

Step 3: Multiply the denominators: 3 × 5 = 15.

Step 4: Simplify the resulting fraction 12/15 by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

So, 12/15 simplifies to 4/5.

Step 5: Check by multiplying the result by 5/6: 4/5 × 5/6 = 20/30 = 2/3, so it is correct.

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

• Reciprocal: The inverse of a fraction, obtained by swapping the numerator and denominator.

• Numerator: The top part of a fraction that indicates how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction that indicates the total number of equal parts.

• Greatest Common Divisor (GCD): The largest positive integer that divides each of the two numbers without leaving a remainder.