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A recipe calls for the following spices:
[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.

What is the total quantity of these three spices in teaspoons?

Answer: __ teaspoons


Sagot :

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].