Fractions
Add whole and fractional inches
Add inch measurements with whole and fractional parts, regrouping an extra inch when the fractions total more than one.
Preview and downloadFractions practice
Add tape-measure fractions
Add fractional amounts using the halves, fourths, eighths and finer binary divisions found on inch tape measures.
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Express both fractions in a shared subdivision, add their numerators and simplify. The practice uses fraction arithmetic associated with tape-measure divisions; it does not require estimating an unmarked distance from a picture.
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What this activity builds
Choose a shared binary fractional unit and combine two fraction-only measurements exactly.
Worked example
Two fractional lengths are 3/8 inch and 5/16 inch. What is their total?
11/16 inch.
Three eighths is six sixteenths. Adding 6/16 and 5/16 gives 11/16 of an inch, with the measurement unit unchanged.
Teaching notes
Make the practice count
- Use a physical ruler to connect the fraction names with repeated halving.
- Convert to the finer of two binary subdivisions when it is a common denominator.
- Move to the separate fractional-inches activity when whole-inch parts are ready to be included.
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