2.95 as a Fraction

Step-by-step solution

The problem

1. Write the digits over 100. 2.95 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

   = \textcolor{#0b5c56}{\frac{295}{100}}

2. Simplify. Write both as prime factors:\begin{aligned} 295 &= 5 \times 59 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The only factor they share is 5, so the greatest common factor (GCF) is 5. Divide the top and bottom by 5.

   = \frac{295 \div 5}{100 \div 5} = \textcolor{#0b5c56}{\frac{59}{20}}

3. Write it as a mixed number. 59 ÷ 20 = 2 remainder 19: the whole number is 2 and 19 is the new numerator.

   59 \div 20 = 2\ \text{R}\ 19
   = \textcolor{#0b5c56}{2\frac{19}{20}}

All the working together