To calculate the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
The numerator of 25 1/2 is (2 * 25) + 1 = 51.
The denominator of 25 1/2 is 2.
The numerator of 4 1/4 is (4 * 4) + 1 = 17.
The denominator of 4 1/4 is 4.
Dividing 51 by 17 gives us 51/17.
Dividing 2 by 4 gives us 1/2.
Therefore, the quotient of 25 1/2 ÷ 4 1/4 is (51/17) ÷ (1/2).
When dividing fractions, we multiply by the reciprocal of the second fraction. So, we can rewrite the problem as (51/17) * (2/1).
Multiplying 51/17 by 2/1 gives us (51 * 2) / (17 * 1) = 102/17.
The simplified answer is 102/17.
What is the quotient of 25 1/2÷4 1/4? Simplify the answer, if possible. (1 point)
5 answers
no
I apologize for any confusion. Let's find the quotient of 25 1/2 ÷ 4 1/4 correctly.
To divide mixed fractions, we first need to convert them into improper fractions.
The improper fraction equivalent of 25 1/2 is (2 * 25 + 1)/2 = 51/2.
The improper fraction equivalent of 4 1/4 is (4 * 4 + 1)/4 = 17/4.
Now we can divide 51/2 by 17/4. Remember that division of fractions is the same as multiplying by the reciprocal.
(51/2) ÷ (17/4) = (51/2) * (4/17)
Multiplying the numerators and denominators gives us (51 * 4) / (2 * 17) = 204/34.
To simplify the fraction, we can find the greatest common factor (GCF) of the numerator and denominator, which is 2.
204/34 = (2 * 102)/(2 * 17) = 102/17.
Therefore, the quotient of 25 1/2 ÷ 4 1/4 is 102/17.
To divide mixed fractions, we first need to convert them into improper fractions.
The improper fraction equivalent of 25 1/2 is (2 * 25 + 1)/2 = 51/2.
The improper fraction equivalent of 4 1/4 is (4 * 4 + 1)/4 = 17/4.
Now we can divide 51/2 by 17/4. Remember that division of fractions is the same as multiplying by the reciprocal.
(51/2) ÷ (17/4) = (51/2) * (4/17)
Multiplying the numerators and denominators gives us (51 * 4) / (2 * 17) = 204/34.
To simplify the fraction, we can find the greatest common factor (GCF) of the numerator and denominator, which is 2.
204/34 = (2 * 102)/(2 * 17) = 102/17.
Therefore, the quotient of 25 1/2 ÷ 4 1/4 is 102/17.
can u simplify it
Apologies for the previous oversight.
To simplify 102/17, we need to find the greatest common factor (GCF) of the numerator 102 and the denominator 17.
The only common factor of 102 and 17 is 1 since they are both prime numbers. Therefore, the GCF is 1.
Dividing both the numerator and denominator by the GCF:
102/17 ÷ 1/1 = (102 ÷ 1)/(17 ÷ 1) = 102/17.
Since there is no common factor other than 1, the fraction 102/17 is already in its simplest form.
So, the simplified answer is 102/17.
To simplify 102/17, we need to find the greatest common factor (GCF) of the numerator 102 and the denominator 17.
The only common factor of 102 and 17 is 1 since they are both prime numbers. Therefore, the GCF is 1.
Dividing both the numerator and denominator by the GCF:
102/17 ÷ 1/1 = (102 ÷ 1)/(17 ÷ 1) = 102/17.
Since there is no common factor other than 1, the fraction 102/17 is already in its simplest form.
So, the simplified answer is 102/17.
3 answers