To find the total quantity of spices required for the recipe, we need to add the given amounts together: [tex]\(\frac{1}{2}\)[/tex] teaspoon of turmeric, [tex]\(\frac{1}{4}\)[/tex] teaspoon of ginger, and [tex]\(\frac{1}{8}\)[/tex] teaspoon of cumin.
First, we convert these fractions to have a common denominator so that they can be easily added. The common denominator for the fractions [tex]\(\frac{1}{2}\)[/tex], [tex]\(\frac{1}{4}\)[/tex], and [tex]\(\frac{1}{8}\)[/tex] is 8.
1. Convert [tex]\(\frac{1}{2}\)[/tex] to a fraction with a denominator of 8:
[tex]\[
\frac{1}{2} = \frac{4}{8}
\][/tex]
2. Convert [tex]\(\frac{1}{4}\)[/tex] to a fraction with a denominator of 8:
[tex]\[
\frac{1}{4} = \frac{2}{8}
\][/tex]
3. [tex]\(\frac{1}{8}\)[/tex] is already in terms of the denominator 8.
Now we can add the fractions together:
[tex]\[
\frac{4}{8} + \frac{2}{8} + \frac{1}{8}
\][/tex]
Combine the numerators over the common denominator:
[tex]\[
\frac{4 + 2 + 1}{8} = \frac{7}{8}
\][/tex]
Thus, the total quantity of the three spices is:
[tex]\[
0.875 \text{ teaspoons}
\][/tex]
So, the total quantity of these three spices in teaspoons is [tex]\(0.875\)[/tex].
