Answer:
![(189)/(100)](https://img.qammunity.org/2021/formulas/mathematics/college/bnhgnpxikfes8rh33dynp3rjg4utuw1evq.png)
Explanation:
Given the decimal number 1.89, we are required to convert to fraction
Step 1: write the decimal number given divided by 1
![(1.89)/(1)](https://img.qammunity.org/2021/formulas/mathematics/college/wqnijlfutigyi75xbx9ol08fnn5k9tfdgb.png)
Step 2: multiply both the up and down by 10 for every number you have after the decimal point
We have 2 numbers (8 and 9) after the decimal point. This means we would multiply both the up and down by 100.
Thus,
![(1.89*100)/(1*100)](https://img.qammunity.org/2021/formulas/mathematics/college/inur6jov56zxb98rmhx4yeciiah9zs6val.png)
![(189)/(100)](https://img.qammunity.org/2021/formulas/mathematics/college/bnhgnpxikfes8rh33dynp3rjg4utuw1evq.png)
Converting 1.89 to fraction would give us:
![(189)/(100)](https://img.qammunity.org/2021/formulas/mathematics/college/bnhgnpxikfes8rh33dynp3rjg4utuw1evq.png)