Final answer:
To find the fraction on the number line nearest to a decimal, determine if the decimal is less than 0.5 or 0.5 and greater. Then, choose the nearest fraction accordingly.
Step-by-step explanation:
To find the fraction on the number line nearest to a decimal, you need to look at the digits after the decimal point. If the decimal is less than 0.5, the nearest fraction will be less than 1. If the decimal is 0.5 or greater, the nearest fraction will be 1 or greater. For example, if the decimal is 0.3, the nearest fraction will be ¼. If the decimal is 0.7, the nearest fraction will be ½. Here are the nearest fractions for the given decimals:
- 83.3 - The nearest fraction is 83⅔
- .238 - The nearest fraction is ⅕
- 1.74 - The nearest fraction is ¾