Greene Bartlett
12/09/2023 · Primary School
\( \frac { 1 } { 5 } - 1 \frac { 6 } { 10 } = - - - = - - - = - = \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the expression \( \frac{1}{5} - 1 \frac{6}{10} \), we first need to convert the mixed number \( 1 \frac{6}{10} \) into an improper fraction.
1. Convert \( 1 \frac{6}{10} \) to an improper fraction:
\[
1 \frac{6}{10} = 1 + \frac{6}{10} = \frac{10}{10} + \frac{6}{10} = \frac{16}{10}
\]
2. Now, we can rewrite the expression:
\[
\frac{1}{5} - \frac{16}{10}
\]
3. To perform the subtraction, we need a common denominator. The least common multiple of 5 and 10 is 10. We convert \( \frac{1}{5} \) to a fraction with a denominator of 10:
\[
\frac{1}{5} = \frac{2}{10}
\]
4. Now we can subtract:
\[
\frac{2}{10} - \frac{16}{10} = \frac{2 - 16}{10} = \frac{-14}{10}
\]
5. Simplify \( \frac{-14}{10} \):
\[
\frac{-14}{10} = \frac{-7}{5}
\]
Thus, the final answer is:
\[
\frac{-7}{5}
\]
Quick Answer
\[
\frac{-7}{5}
\]
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