Johnson Ayala
05/15/2024 · Senior High School
\( \begin{array}{ll} & 3 x+4 y \\ \text { 6. Express } & 2.83 \text { as improper fraction. (3 marks) }\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To express \( 2.83 \) as an improper fraction, we can follow these steps:
1. **Separate the whole number and the decimal part**:
The number \( 2.83 \) can be separated into \( 2 \) (the whole number) and \( 0.83 \) (the decimal part).
2. **Convert the decimal part to a fraction**:
The decimal \( 0.83 \) can be expressed as:
\[
0.83 = \frac{83}{100}
\]
3. **Combine the whole number and the fraction**:
To combine \( 2 \) and \( \frac{83}{100} \), we convert \( 2 \) into a fraction with a denominator of \( 100 \):
\[
2 = \frac{2 \times 100}{100} = \frac{200}{100}
\]
4. **Add the two fractions**:
Now we can add \( \frac{200}{100} \) and \( \frac{83}{100} \):
\[
\frac{200}{100} + \frac{83}{100} = \frac{200 + 83}{100} = \frac{283}{100}
\]
Thus, \( 2.83 \) expressed as an improper fraction is:
\[
\frac{283}{100}
\]
Quick Answer
\( 2.83 \) as an improper fraction is \( \frac{283}{100} \).
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