What is the quotient of 2 1/6÷1 1/3 ? Simplify the answer, if possible
To divide the fractions 2 1/6 and 1 1/3, we need to convert them into improper fractions.
To convert 2 1/6 into an improper fraction:
2 is the whole number, so we multiply it by the denominator of the fraction (6) and add the numerator to get the new numerator:
2 * 6 + 1 = 13
The new fraction is 13/6.
To convert 1 1/3 into an improper fraction:
1 is the whole number, so we multiply it by the denominator of the fraction (3) and add the numerator to get the new numerator:
1 * 3 + 1 = 4
The new fraction is 4/3.
Now, we can divide the fractions:
(13/6) ÷ (4/3)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(13/6) * (3/4)
Now, we can multiply across:
(13 * 3) / (6 * 4)
39 / 24
The quotient is 39/24.
simpifly
To simplify the fraction 39/24, we can first find the greatest common divisor (GCD) of the numerator (39) and denominator (24).
The factors of 39 are: 1, 3, 13, 39
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The largest number that divides both 39 and 24 is 3.
Dividing both the numerator and denominator by 3, we get:
39/3 ÷ 24/3 = 13/8
Therefore, 39/24 simplifies to 13/8.