What is the quotient of 5/6÷1 1/2

Answer 1

To divide a whole number by a mixed number, we need to change the mixed number to an improper fraction.

Step 1: Convert the mixed number 1 1/2 to an improper fraction.
1 1/2 = (2*1 + 1)/2 = 3/2

Step 2: Rewriting the division problem with the improper fraction.
5/6 ÷ 3/2

Step 3: When we divide fractions, we actually multiply by the reciprocal of the second fraction.
5/6 ÷ 3/2 = 5/6 * 2/3

Step 4: Multiply the numerators and denominators.
(5 * 2) / (6 * 3) = 10/18

Step 5: Simplify the fraction, if possible.
The greatest common divisor of 10 and 18 is 2.
10/18 = (10 ÷ 2) / (18 ÷ 2) = 5/9

Therefore, the quotient of 5/6 ÷ 1 1/2 is 5/9.

Answer 2

What is the quotient of 5 3/5÷2 1/4

Answer 3

To divide two mixed numbers, we first need to convert them into improper fractions.

Step 1: Convert the mixed numbers to improper fractions.
5 3/5 = (5 * 5 + 3)/5 = 28/5
2 1/4 = (2 * 4 + 1)/4 = 9/4

Step 2: Rewrite the division problem with the improper fractions.
28/5 ÷ 9/4

Step 3: To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
28/5 ÷ 9/4 = 28/5 * 4/9

Step 4: Multiply the numerators and denominators.
(28 * 4) / (5 * 9) = 112/45

The quotient of 5 3/5 ÷ 2 1/4 is 112/45.