1.75 as a Fraction

Step-by-step solution

The problem

1. Write the digits over 100. 1.75 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

   = \textcolor{#0b5c56}{\frac{175}{100}}

2. Simplify. Write both as prime factors:\begin{aligned} 175 &= 5^{2} \times 7 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The factors they share give the greatest common factor (GCF): \displaystyle 5^{2} = 25. Divide the top and bottom by 25.

   = \frac{175 \div 25}{100 \div 25} = \textcolor{#0b5c56}{\frac{7}{4}}

3. Write it as a mixed number. 7 ÷ 4 = 1 remainder 3: the whole number is 1 and 3 is the new numerator.

   7 \div 4 = 1\ \text{R}\ 3
   = \textcolor{#0b5c56}{1\frac{3}{4}}

All the working together