Evaluate the expression shown below and write your answer as a fraction in simplest form.
start fraction, 3, divided by, 4, end fraction, minus, one sixth
4
3
−
6
1
To subtract fractions, you need to have a common denominator. In this case, the common denominator is 12.
So, the expression becomes:
(start fraction 3/4) - (1/6)
To make the denominators match, we need to convert 3/4 to have a denominator of 12:
(3/4) * (3/3) = 9/12
Now we can subtract:
(9/12) - (1/6)
Both fractions now have a denominator of 12, so we subtract the numerators:
(9 - 2) / 12 = 7/12
So, the simplified answer is 7/12.
To evaluate the expression, we first need to find a common denominator for 4 and 6. The least common multiple of 4 and 6 is 12.
Now let's convert each fraction to have a denominator of 12:
start fraction 3 divided by 4 equals 9 divided by 12,
and
one sixth equals 2 divided by 12.
So, the expression becomes:
start fraction 9 divided by 12, minus, 2 divided by 12, end fraction.
Subtracting these fractions, we get:
start fraction 9 - 2 divided by 12, end fraction.
9 minus 2 equals 7, so the simplified fraction is:
7/12.
To evaluate the expression (3/4) - (1/6), we need to find a common denominator for the fractions.
The common denominator for 4 and 6 is 12. We can convert both fractions to have a denominator of 12 by multiplying the numerator and denominator of the first fraction by 3 (since 4 x 3 = 12) and the numerator and denominator of the second fraction by 2 (since 6 x 2 = 12).
So, the expression becomes:
(3/4) x (3/3) - (1/6) x (2/2)
= 9/12 - 2/12
Now that the fractions have the same denominator, we can subtract them:
(9 - 2) / 12
= 7/12
Therefore, the answer as a fraction in simplest form is 7/12.