describe strategies you have found for deciding whether a fraction is between 0 ans 1/2 or between 1/2 and 1???????????????????
To determine whether a fraction is between 0 and 1/2 or between 1/2 and 1, you can employ various strategies. Here are a few strategies you can use:
1. Visual Representation:
Represent the fractions on a number line. Draw a line segment representing the entire range from 0 to 1 and mark the points for 0, 1/2, and 1. Then, plot the given fraction on the number line. If the fraction falls between 0 and 1/2, it will be closer to 0. If it falls between 1/2 and 1, it will be closer to 1.
2. Numerical Comparison:
Compare the given fraction with 1/2. If the numerator of the fraction is smaller than the denominator, it will be smaller than 1/2 and fall between 0 and 1/2. If the numerator is larger than the denominator, it will be greater than 1/2 and fall between 1/2 and 1.
3. Equivalent Fractions:
Simplify the given fraction to its simplest form. If the simplified fraction has a numerator greater than 1, it will fall between 1/2 and 1. If the numerator is 0 or 1, the fraction will fall between 0 and 1/2.
These strategies can help you determine the range in which a fraction falls. Remember to simplify fractions and use number lines to aid in visualization.