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Comparing and Ordering Fractions. What would you do if you had to measure an ant with a ruler that only had inches on it?. You can’t use centimeters, but an ant isn’t a whole inch long. Let’s look at a ruler!. Check out how we break a ruler down into fractional parts by looking at this website
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What would you do if you had to measure an ant with a ruler that only had inches on it? You can’t use centimeters, but an ant isn’t a whole inch long.
Let’s look at a ruler! • Check out how we break a ruler down into fractional parts by looking at this website • http://www.pusd.info/teachers/gruth/ruth_science/appliedphysical/Rulers/learn-rulers.htm
Some measurements are much smaller than an inch… • If something (like an ant) is smaller than an inch, it can be measured by fractions of an inch. • Thinking of a ruler, we can remember which fractions are bigger than others. • The fractions closer to the one whole are bigger than those that are closer to the zero. • So, ¼ < ¾ because ¾ is closer to the one. • We could also put fractions in order from smallest to largest using this same strategy.
Comparing Fractions. • We can see which pieces are bigger. • For example, which piece is bigger, 1/3 or 1/2?
Practice time! • Decide which fraction is larger: • 1/4 or 1/5 • 1/6 or 1/9 • 1/8 or 1/3 • 1/7 or 1/2 • 1/3 or 1/4 • 1/9 or 1/10
What do you notice about which fraction is larger? If the numerator is one, the bigger the denominator, the smaller the fraction.
