Question

write each decimal as a fraction or mixed number in simplest form.
0.92
8.86
2.52
write each repeating decimal using bar notation (one point)
4.62962963
0.245313131

Explanation:

Step1: Convert 0.92 to fraction

Let \( x = 0.92 \). Since there are two decimal places, multiply both sides by 100: \( 100x = 92 \). Then \( x=\frac{92}{100} \), simplify by dividing numerator and denominator by 4: \( \frac{92\div4}{100\div4}=\frac{23}{25} \).

Step2: Convert 8.86 to mixed number

The whole number part is 8. For the decimal part, \( 0.86=\frac{86}{100} \), simplify by dividing by 2: \( \frac{43}{50} \). So \( 8.86 = 8\frac{43}{50} \).

Step3: Convert 2.52 to mixed number

Whole number part is 2. Decimal part \( 0.52=\frac{52}{100} \), simplify by dividing by 4: \( \frac{13}{25} \). So \( 2.52 = 2\frac{13}{25} \).

Step4: Write 4.62962963 with repeating bar (assuming typo, maybe 4.629629629...). The repeating part is 629, so \( 4.\overline{629} \) (but the given is 4.62962963, maybe a truncation, but if repeating is 6296, adjust. However, following the problem, for 4.62962963 (if repeating 6296), but maybe the intended is 4.629629629... with 629 repeating, so \( 4.\overline{629} \).

Step5: Write 0.245313131... with repeating bar. The repeating part is 31, so \( 0.245\overline{31} \).

Answer:

• 0.92 as fraction: \(\frac{23}{25}\)
• 8.86 as mixed number: \(8\frac{43}{50}\)
• 2.52 as mixed number: \(2\frac{13}{25}\)
• 4.62962963 (repeating 629) as \(4.\overline{629}\)
• 0.245313131... as \(0.245\overline{31}\)