Remainders as fractions: 4th grade math lesson

What this lesson shows

7 ÷ 3 is 2 1/3: the leftover split among the 3. Florida's way.

The worked example

The lesson works this one step by step: 7 ÷ 3. Then your kid tries one like it on paper.

The steps

Share out the wholes
Cut what is left into equal pieces
Left over on top, the number you divide by on the bottom

Helping at home

Share out the wholes first, then cut what is left into equal pieces. The remainder goes on top of the fraction, and the number you divide by goes on the bottom.

If your kid gets stuck

Write the remainder as a fraction.

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 4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Common Core 5.NF.B.3
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

Matches a standard in all 50 states and DCSee each state's code

Alabama MA19.4.12a, MA19.5.7, MA19.5.11a, MA19.5.11b
Alaska 4.NBT.6, 5.NF.3
Arizona 4.NBT.B.6, 5.NF.B.3, 5.NBT.B.6
Arkansas 4.CAR.4, 5.CAR.2, 5.CAR.6, 5.CAR.10
California 4.NBT.B.6, 5.NF.B.3
Colorado 4.NBT.B.6, 5.NF.B.3
Connecticut 4.NBT.B.6, 5.NF.B.3
Delaware 4.NBT.B.6, 5.NF.B.3
District of Columbia 4.NBT.B.6, 5.NF.B.3
Florida MA.4.NSO.2.4, MA.4.NSO.2.5, MA.5.NSO.2.2, MA.5.FR.1.1
Georgia 4.NR.2.4, 5.NR.2.2, 5.NR.3.1
Hawaii 4.NBT.B.6, 5.NF.B.3
Idaho 4.NBT.B.6.a, 4.NBT.B.6.b, 5.NBT.A.6.a, 5.NF.B.3
Illinois 4.NBT.B.6, 5.NF.B.3
Indiana 4.CA.2, 5.CA.1, 5.NS.2
Iowa 4.NBT.B.6, 5.NF.B.3
Kansas 4.NBT.6, 5.NF.3
Kentucky KY.4.NBT.6, KY.5.NF.3, KY.5.NBT.6.a
Louisiana 4.NBT.B.6, 5.NF.B.3
Maine 4.NBT.B.6, 5.NF.B.3
Maryland 4.NOS.B.5.a, 4.NOS.B.6.a, 4.NOS.B.6.b, 4.NOS.B.6.c, 4.NOS.B.6.d, 5.NOS.B.4.a, 5.NOS.B.5.a, 5.NOS.D.10
Massachusetts 4.NBT.B.6, 5.NF.B.3
Michigan 4.NBT.B.6, 5.NF.B.3
Minnesota 4.1.1.4, 4.1.1.6, 5.1.1.3, 5.1.1.1, 5.1.2.4
Mississippi 4.NBT.6, 5.NF.3
Missouri 4.NBT.A.7, 5.NF.A.2
Montana MT.4.NBT.6, 4.D1.8, 4.D1.21, MT.5.NF.3, 5.D1.8, 5.D3.3
Nebraska 4.A.1.c, 4.A.1.d, 5.N.2.a, 5.N.3.a, 5.A.1.b
Nevada 4.NBT.B.6, 5.NF.B.3
New Hampshire 4.NBT.B.6, 5.NF.B.3
New Jersey 4.NBT.B.6, 5.NF.B.3
New Mexico 4.NBT.B.6, 5.NF.B.3
New York NY-4.NBT.6, NY-5.NF.3
North Carolina NC.4.NBT.6, NC.5.NF.3.a, NC.5.NF.3.b, NC.5.NF.3.c
North Dakota 4.NO.NBT.6
Ohio 4.NBT.6, 5.NF.3
Oklahoma 4.N.2.3, 4.N.2.5, 5.N.2.1, 5.N.2.2, 5.N.2.3
Oregon 4.NBT.B.6, 5.NBT.B.6, 5.NF.B.3
Pennsylvania CC.2.1.4.B.2, CC.2.1.5.C.2
Rhode Island 4.NBT.B.6, 5.NF.B.3
South Carolina 4.PAFR.1.4, 4.NR.1.2, 5.PAFR.1.2, 4.PAFR.2.4
South Dakota 4.NBT.B.6, 5.NF.B.3, 5.NBT.B.6
Tennessee 4.NBT.B.6, 5.NF.B.3
Texas 111.6.b.4.B, 111.6.b.4.E, 111.6.b.4.F, 111.6.b.4.G, 111.5.b.3.E, 111.7.b.3.C
Utah 4.NBT.6, 5.NF.3
Vermont 4.NBT.B.6, 5.NF.B.3
Virginia 4.CE.2a, 4.CE.2i, 5.CE.1a, 5.NS.1a, 4.NS.3g
Washington 4.NBT.B.6, 5.NF.B.3
West Virginia M.4.11, M.5.13
Wisconsin M.4.NBT.A.3, M.4.NBT.B.6, M.5.NF.B.3
Wyoming 4.NBT.6, 5.NF.3

Remainders as fractions