Mixed numbers, unlike denominators: 5th grade math lesson

What this lesson shows

1 1/2 + 9 2/3: estimate more than 11, then wholes, then sixths, then regroup.

The worked example

The lesson works this one step by step: 1 1/2 + 9 2/3. Then your kid tries one like it on paper.

The steps

Estimate
Add the wholes
Rename and add the parts
Parts over 1? Make a whole

Helping at home

Estimate first from the wholes and whether the parts make more than 1. Add the wholes, then rename the parts in the same parts and add them. If the parts make a whole or more, trade it for 1 whole. No simplifying needed.

If your kid gets stuck

Estimate. Wholes first, then rename and add the parts.

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.

See how Lux works

Standards

Common Core 5.NF.A.1
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

Matches standards in 49 statesSee each state's code

Alabama MA19.5.10
Alaska 5.NF.1
Arizona 5.NF.A.1
Arkansas 5.CAR.5
California 5.NF.A.1
Colorado 5.NF.A.1
Connecticut 5.NF.A.1
Delaware 5.NF.A.1
District of Columbia 5.NF.A.1
Florida MA.5.FR.2.1
Georgia 5.NR.3.3
Hawaii 5.NF.A.1
Idaho 5.NF.A.1
Illinois 5.NF.A.1
Indiana 5.CA.3
Iowa 5.NF.A.1
Kansas 5.NF.1
Kentucky KY.5.NF.1
Louisiana 5.NF.A.1
Maine 5.NF.A.1
Maryland 5.NOS.C.8.b, 5.NOS.C.8.c
Massachusetts 5.NF.A.1
Michigan 5.NF.A.1
Minnesota 5.1.3.1, 5.1.3.2
Mississippi 5.NF.1
Missouri 5.NF.B.6
Montana MT.5.NF.1, 5.D2.5, 5.D3.4
Nebraska 5.N.3.e
Nevada 5.NF.A.1
New Hampshire 5.NF.A.1
New Jersey 5.NF.A.1
New Mexico 5.NF.A.1
New York NY-5.NF.1
North Dakota 5.NO.NF.3
Ohio 5.NF.1
Oklahoma 5.N.3.3
Oregon 5.NF.A.1
Pennsylvania CC.2.1.5.C.1
Rhode Island 5.NF.A.1
South Carolina 5.PAFR.2.1, 5.PAFR.3.1
South Dakota 5.NF.A.1
Tennessee 5.NF.A.1
Texas 111.7.b.3.H, 111.7.b.3.K
Utah 5.NF.1
Vermont 5.NF.A.1
Virginia 5.CE.2a, 5.CE.2b
Washington 5.NF.A.1
West Virginia M.5.11
Wisconsin M.5.NF.A.1

Mixed numbers, unlike denominators