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To solve the equation [tex]\(1 - \frac{3}{10}\)[/tex], we start by understanding the basic arithmetic operation of subtraction involving fractions.
1. Identify the whole and the fraction: [tex]\(1\)[/tex] is a whole number and [tex]\(\frac{3}{10}\)[/tex] is a fraction.
2. Convert the whole number to a fraction: Since [tex]\(1\)[/tex] can be expressed as a fraction with any denominator, we can write:
[tex]\[ 1 = \frac{10}{10} \][/tex]
3. Perform the subtraction: Now we need to subtract the given fraction [tex]\(\frac{3}{10}\)[/tex] from [tex]\(\frac{10}{10}\)[/tex]. Both fractions have the same denominator, so we can subtract the numerators directly:
[tex]\[ \frac{10}{10} - \frac{3}{10} = \frac{10 - 3}{10} = \frac{7}{10} \][/tex]
4. Simplify, if necessary: In this case, [tex]\(\frac{7}{10}\)[/tex] is already in its simplest form.
Therefore, [tex]\(1 - \frac{3}{10} = \frac{7}{10}\)[/tex].
So, the fraction that should be placed in the box to make the equation true is:
[tex]\[ \frac{7}{10} \][/tex]
This can also be represented in decimal form as [tex]\(0.7\)[/tex].
1. Identify the whole and the fraction: [tex]\(1\)[/tex] is a whole number and [tex]\(\frac{3}{10}\)[/tex] is a fraction.
2. Convert the whole number to a fraction: Since [tex]\(1\)[/tex] can be expressed as a fraction with any denominator, we can write:
[tex]\[ 1 = \frac{10}{10} \][/tex]
3. Perform the subtraction: Now we need to subtract the given fraction [tex]\(\frac{3}{10}\)[/tex] from [tex]\(\frac{10}{10}\)[/tex]. Both fractions have the same denominator, so we can subtract the numerators directly:
[tex]\[ \frac{10}{10} - \frac{3}{10} = \frac{10 - 3}{10} = \frac{7}{10} \][/tex]
4. Simplify, if necessary: In this case, [tex]\(\frac{7}{10}\)[/tex] is already in its simplest form.
Therefore, [tex]\(1 - \frac{3}{10} = \frac{7}{10}\)[/tex].
So, the fraction that should be placed in the box to make the equation true is:
[tex]\[ \frac{7}{10} \][/tex]
This can also be represented in decimal form as [tex]\(0.7\)[/tex].
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