Evaluate the expression shown below and write your answer as a fraction in simplest form.
one tenth, plus, one sixth
10
1
+
6
1
To add fractions, you need to have a common denominator. The least common denominator between 10 and 6 is 30.
Multiply the numerator and denominator of the first fraction, 1/10, by 3: (1/10) * (3/3) = 3/30.
Multiply the numerator and denominator of the second fraction, 1/6, by 5: (1/6) * (5/5) = 5/30.
Now, add the two fractions: 3/30 + 5/30 = 8/30.
The fraction 8/30 can be simplified by dividing both the numerator and denominator by the greatest common divisor, which is 2: (8/2) / (30/2) = 4/15.
Therefore, the expression one tenth plus one sixth is equal to 4/15.
To evaluate the expression, you need to find a common denominator for the fractions. The common denominator for 10 and 6 is 30.
Now, you can convert both fractions to have a denominator of 30:
\( \frac{1}{10} = \frac{3}{30} \)
\( \frac{1}{6} = \frac{5}{30} \)
Next, you can add the fractions:
\( \frac{3}{30} + \frac{5}{30} = \frac{8}{30} \)
Finally, you simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
\( \frac{8}{30} = \frac{4}{15} \)
So, the expression \( \frac{1}{10} + \frac{1}{6} \) evaluates to \( \frac{4}{15} \).
To evaluate the expression shown, we need to find a common denominator for the fractions. The least common multiple (LCM) of 10 and 6 is 30.
So, we will rewrite the fractions with the denominator of 30:
1/10 can be written as 3/30 (multiplying both the numerator and denominator by 3)
1/6 can be written as 5/30 (multiplying both the numerator and denominator by 5)
Now, we add the fractions:
3/30 + 5/30 = 8/30
The sum of the two fractions is 8/30. However, the fraction can be simplified further.
To simplify the fraction, we find the greatest common divisor (GCD) of 8 and 30, which is 2.
By dividing both the numerator and denominator of 8/30 by 2, we get the simplified fraction:
8/30 ÷ 2/2 = 4/15
Therefore, the answer to the expression "one-tenth plus one-sixth" is 4/15.