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Answer :
We begin with the expression:
[tex]$$
\frac{18}{20} - \frac{1}{5}.
$$[/tex]
Step 1. Express Both Fractions with a Common Denominator
The fraction [tex]$\frac{18}{20}$[/tex] already has a denominator of 20. We need to convert [tex]$\frac{1}{5}$[/tex] to an equivalent fraction with denominator 20. Since
[tex]$$
5 \times 4 = 20,
$$[/tex]
we multiply both the numerator and the denominator of [tex]$\frac{1}{5}$[/tex] by 4:
[tex]$$
\frac{1}{5} = \frac{1 \times 4}{5 \times 4} = \frac{4}{20}.
$$[/tex]
Step 2. Perform the Subtraction
Now that both fractions have the same denominator, we subtract the numerators:
[tex]$$
\frac{18}{20} - \frac{4}{20} = \frac{18 - 4}{20} = \frac{14}{20}.
$$[/tex]
Step 3. Simplify the Fraction
To simplify [tex]$\frac{14}{20}$[/tex], we find the greatest common divisor (GCD) of 14 and 20, which is 2. Dividing both the numerator and the denominator by 2 gives:
[tex]$$
\frac{14}{20} = \frac{14 \div 2}{20 \div 2} = \frac{7}{10}.
$$[/tex]
Final Answer
Thus, the result of the subtraction is:
[tex]$$
\frac{18}{20} - \frac{1}{5} = \boxed{\frac{7}{10}},
$$[/tex]
which is equivalent to 0.7 in decimal form.
[tex]$$
\frac{18}{20} - \frac{1}{5}.
$$[/tex]
Step 1. Express Both Fractions with a Common Denominator
The fraction [tex]$\frac{18}{20}$[/tex] already has a denominator of 20. We need to convert [tex]$\frac{1}{5}$[/tex] to an equivalent fraction with denominator 20. Since
[tex]$$
5 \times 4 = 20,
$$[/tex]
we multiply both the numerator and the denominator of [tex]$\frac{1}{5}$[/tex] by 4:
[tex]$$
\frac{1}{5} = \frac{1 \times 4}{5 \times 4} = \frac{4}{20}.
$$[/tex]
Step 2. Perform the Subtraction
Now that both fractions have the same denominator, we subtract the numerators:
[tex]$$
\frac{18}{20} - \frac{4}{20} = \frac{18 - 4}{20} = \frac{14}{20}.
$$[/tex]
Step 3. Simplify the Fraction
To simplify [tex]$\frac{14}{20}$[/tex], we find the greatest common divisor (GCD) of 14 and 20, which is 2. Dividing both the numerator and the denominator by 2 gives:
[tex]$$
\frac{14}{20} = \frac{14 \div 2}{20 \div 2} = \frac{7}{10}.
$$[/tex]
Final Answer
Thus, the result of the subtraction is:
[tex]$$
\frac{18}{20} - \frac{1}{5} = \boxed{\frac{7}{10}},
$$[/tex]
which is equivalent to 0.7 in decimal form.
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