Sum Fractional Measurements Including Repeats
Read the supplied repeated lengths.
About 20 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Lengths are 3/8,3/8,5/8 inch.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A measurement line plot can support a total of the measured amounts. Multiply each value by its frequency or add every observation. This differs from merely counting observations. Like-sized fraction pieces combine by numerator addition; keep the unit and whole fixed while calculating.
Read the supplied repeated lengths. Count every occurrence, add the like-denominator amounts, and simplify the total if useful. Check that the number of added terms matches the number of observations.
Keep repetitions when summing measurements. Observation count and total measured length answer different questions. Write one term for every plotted observation before adding.
- Write one term for every plotted observation before adding.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Read the supplied repeated lengths.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Lengths are 3/8,3/8,5/8 inch. Their total is 11/8 inch, or 1 3/8 inches. There are three observations, but three is not the length total. The repeated 3/8 measurement contributes twice because two separate observations have that value. Keep repetitions when summing measurements. Observation count and total measured length answer different questions. Write one term for every plotted observation before adding.
Check your reasoning
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Helpful tips
- Keep repetitions when summing measurements.
- Observation count and total measured length answer different questions.
See the answer and explanation
5/8
Include repeated measurements and add their eighth counts. The result is 5/8.
Take it further
Lengths 1/4,1/2,1/4 inch sum to one inch.
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