What this lesson shows
4 1/2 × 3/4 as 4 × 3/4 + 1/2 × 3/4.
The worked example
The lesson works this one step by step: 4 1/2 × 3/4. Then your kid tries one like it on paper.
The steps
- Split the mixed number
- Multiply each part
- Add the two products
Helping at home
Split the mixed number into its wholes and its fraction. Multiply each by the other fraction, then add the two answers, renaming to the same parts if needed. No simplifying needed.
If your kid gets stuck
Split into wholes and a part. Multiply each, then add.
Watch it with Lux
With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.
Standards
- Common Core 5.NF.B.4a
Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = (ac)/(bd).
Matches standards in 46 statesSee each state's code
- Alabama MA19.5.12a, MA19.5.12b
- Alaska 5.NF.4.a
- Arizona 5.NF.B.4.a, 5.NF.B.4.b
- Arkansas 5.CAR.7
- California 5.NF.B.4
- Colorado 5.NF.B.4.a
- Connecticut 5.NF.B.4
- Delaware 5.NF.B.4
- District of Columbia 5.NF.B.4
- Florida MA.5.FR.2.2
- Georgia 5.NR.3.4
- Hawaii 5.NF.B.4
- Idaho 5.NF.B.4.a
- Illinois 5.NF.B.4
- Indiana 5.CA.5
- Iowa 5.NF.B.4.a
- Kansas 5.NF.4.a
- Kentucky KY.5.NF.4.a
- Louisiana 5.NF.B.4.a, 5.NF.B.4.b, 5.NF.B.4.c
- Maine 5.NF.B.4a
- Maryland 5.NOS.D.11.b, 5.NOS.D.12.b, 5.NOS.D.13.b
- Massachusetts 5.NF.B.4.a
- Michigan 5.NF.B.4
- Mississippi 5.NF.4.a
- Missouri 5.NF.B.7.b, 5.NF.B.7.c
- Montana MT.5.NF.4.a, 5.D2.3, 5.D3.2, 5.D4.2, 5.D4.5
- Nebraska 5.N.3.b
- Nevada 5.NF.B.4
- New Hampshire 5.NF.B.4
- New Jersey 5.NF.B.4a
- New Mexico 5.NF.B.4
- New York NY-5.NF.4.a
- North Carolina NC.5.NF.4.a
- Ohio 5.NF.4.a
- Oregon 5.NF.B.4
- Pennsylvania CC.2.1.5.C.2
- Rhode Island 5.NF.B.4.a
- South Carolina 5.PAFR.2.2
- South Dakota 5.NF.B.4.a
- Tennessee 5.NF.B.4.a
- Texas 111.7.b.3.I
- Utah 5.NF.4.a
- Vermont 5.NF.B.4
- Washington 5.NF.B.4
- West Virginia M.5.14
- Wisconsin M.5.NF.B.4
More in this unit
- Adding fractions with unlike denominators
- Renaming both fractions
- Mixed numbers, unlike denominators
- Adding tops and bottoms
- Same-size wholes
- Fraction stories, add and subtract
- A fraction of a fraction
- A third of it, or a third of a yard?
- Bigger or smaller, without computing
- Times a fraction can shrink
- Area with fraction sides
- Area with decimal sides
- Greatest common factor and least common multiple
- Percents are parts of 100