What is the quotient of 5/6÷1 1/2 ? Write your answer in fraction form and simplify the answer, if possible.
To divide fractions, you need to multiply by the reciprocal of the second fraction.
The reciprocal of 1 1/2 is 2/3.
So the expression 5/6 ÷ 1 1/2 is equal to (5/6) * (2/3).
Multiplying these fractions together gives (5*2)/(6*3) = 10/18.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
10/18 simplifies to 5/9.
Therefore, the quotient of 5/6 ÷ 1 1/2 is 5/9.
What is the quotient of 25 1/2÷4 1/4 ? Simplify the answer, if possible.
To divide mixed numbers, we need to convert them to improper fractions.
25 1/2 can be converted to the improper fraction:
25 1/2 = (25 * 2 + 1) / 2 = 51/2.
Similarly, 4 1/4 can be converted to the improper fraction:
4 1/4 = (4 * 4 + 1) / 4 = 17/4.
So, the expression 25 1/2 ÷ 4 1/4 is equal to (51/2) ÷ (17/4).
To divide fractions, we multiply by the reciprocal of the second fraction. So, we have:
(51/2) ÷ (17/4) = (51/2) * (4/17).
Multiplying these fractions gives:
(51 * 4) / (2 * 17) = 204/34.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
204/34 simplifies to 102/17.
Therefore, the quotient of 25 1/2 ÷ 4 1/4 is 102/17.
WRONG
I apologize for the incorrect response. Let's recalculate the quotient:
To divide mixed numbers, we need to convert them to improper fractions.
25 1/2 can be converted to the improper fraction:
25 1/2 = (25 * 2 + 1) / 2 = 51/2.
Similarly, 4 1/4 can be converted to the improper fraction:
4 1/4 = (4 * 4 + 1) / 4 = 17/4.
So, the expression 25 1/2 ÷ 4 1/4 is equal to (51/2) ÷ (17/4).
To divide fractions, we multiply by the reciprocal of the second fraction. So, we have:
(51/2) ÷ (17/4) = (51/2) * (4/17).
Multiplying these fractions gives:
(51 * 4) / (2 * 17) = 204/34.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
204/34 simplifies to 6/1.
Therefore, the quotient of 25 1/2 ÷ 4 1/4 is 6/1 or simply 6.
What is the quotient of 5 3/5÷2 1/4 ? Simplify the answer, if possible
To divide mixed numbers, we need to convert them to improper fractions.
5 3/5 can be converted to the improper fraction:
5 3/5 = (5 * 5 + 3) / 5 = 28/5.
Similarly, 2 1/4 can be converted to the improper fraction:
2 1/4 = (2 * 4 + 1) / 4 = 9/4.
So, the expression 5 3/5 ÷ 2 1/4 is equal to (28/5) ÷ (9/4).
To divide fractions, we multiply by the reciprocal of the second fraction. So, we have:
(28/5) ÷ (9/4) = (28/5) * (4/9).
Multiplying these fractions gives:
(28 * 4) / (5 * 9) = 112/45.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
112/45 cannot be simplified any further.
Therefore, the quotient of 5 3/5 ÷ 2 1/4 is 112/45.