the quotient of 1/2 and 12/7
To find the quotient of 1/2 and 12/7, we need to divide 1/2 by 12/7.
Remember that dividing by a fraction is the same as multiplying by its reciprocal.
So, we can rewrite the problem as multiplying 1/2 by the reciprocal of 12/7.
The reciprocal of a fraction a/b is b/a.
Therefore, the reciprocal of 12/7 is 7/12.
Now, we can multiply 1/2 by 7/12:
(1/2) * (7/12) = (1 * 7) / (2 * 12) = 7/24.
Thus, the quotient of 1/2 and 12/7 is 7/24.
what is 5/6 divided by 6/7
To find the quotient of 5/6 and 6/7, we need to divide 5/6 by 6/7.
Once again, dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as multiplying 5/6 by the reciprocal of 6/7.
The reciprocal of a fraction a/b is b/a. Therefore, the reciprocal of 6/7 is 7/6.
Now, we can multiply 5/6 by 7/6:
(5/6) * (7/6) = (5 * 7) / (6 * 6) = 35/36.
Thus, the quotient of 5/6 and 6/7 is 35/36.
what is 2/3 divided by 12/19
To find the quotient of 2/3 and 12/19, we need to divide 2/3 by 12/19.
Similarly, dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as multiplying 2/3 by the reciprocal of 12/19.
The reciprocal of a fraction a/b is b/a. Therefore, the reciprocal of 12/19 is 19/12.
Now, we can multiply 2/3 by 19/12:
(2/3) * (19/12) = (2 * 19) / (3 * 12) = 38/36.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
(38/2) / (36/2) = 19/18.
Thus, the quotient of 2/3 and 12/19 is 19/18.
Desiree is making quacamole for a party the recipe she is using calls for 1/4 cup of lime juicee for every 4 avocadoz if she plans to use 1 cup of lime juicee how many avocadoz does she need?
If the recipe calls for 1/4 cup of lime juice for every 4 avocados, then we can set up a proportion to find the number of avocados required.
Let 'x' be the number of avocados needed.
According to the proportion:
(1/4) cup lime juice / 4 avocados = 1 cup lime juice / x avocados
Cross-multiplying gives us:
1 cup lime juice * 4 avocados = (1/4) cup lime juice * x avocados
Simplifying further:
4x = 1 * 4
4x = 4
x = 4/4
x = 1
Therefore, Desiree needs 1 avocado if she plans to use 1 cup of lime juice.