1.95 as a Fraction

Step-by-step solution

The problem

1. Write the digits over 100. 1.95 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

   = \textcolor{#0b5c56}{\frac{195}{100}}

2. Simplify. Write both as prime factors:\begin{aligned} 195 &= 3 \times 5 \times 13 \\[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{195 \div 5}{100 \div 5} = \textcolor{#0b5c56}{\frac{39}{20}}

3. Write it as a mixed number. 39 ÷ 20 = 1 remainder 19: the whole number is 1 and 19 is the new numerator.

   39 \div 20 = 1\ \text{R}\ 19
   = \textcolor{#0b5c56}{1\frac{19}{20}}

All the working together