Whole Numbers as Fractions Worksheets, From 3 = 3/1 to 12/4 = 3

Pick a Sheet type, such as Whole number over 1, press Make a new sheet for new numbers, then Print.

12 problems. Whole number with a given denominator. Sheet E5M1I5, with its answer key.

Whole number with a given denominator

Name Date Score / 12

Write each whole number as a fraction. One whole is 2 halves, 3 thirds, 4 fourths, and so on, and a number over 1 is that many wholes.

  1. 1.8 = 8
  2. 2.8 = 5
  3. 3.5 = 3
  4. 4.1 = 10
  5. 5.7 = 3
  6. 6.2 = 3
  7. 7.6 = 2
  8. 8.3 = 6
  9. 9.3 = 4
  10. 10.10 = 6
  11. 11.9 = 8
  12. 12.9 = 2

Sheet E5M1I5 · Made at homeroomtools.com

Answer key. Whole number with a given denominator

  1. 1.8 = 648
  2. 2.8 = 405
  3. 3.5 = 153
  4. 4.1 = 1010
  5. 5.7 = 213
  6. 6.2 = 63
  7. 7.6 = 122
  8. 8.3 = 186
  9. 9.3 = 124
  10. 10.10 = 606
  11. 11.9 = 728
  12. 12.9 = 182

Sheet E5M1I5 · Made at homeroomtools.com

Next step See the other grade 3 fraction sheetsBuild a whole-number practice sheet

How it works

Make whole numbers as fractions worksheets that write a whole number as a fraction, from 3 = 3/1 to 3 = 12/4. Other sheets turn fractions such as 12/4 back into whole numbers. The first sheet gives the denominator and pupils find the numerator.

Read the full guide

Where the standards put it

Common Core 3.NF.3c has grade 3 pupils express whole numbers as fractions, with 3 = 3/1 as its example. It also puts 4/4 and 1 at the same point of a number line. Texas 3.3(A) stops at one whole, and 4.3(A) goes past it in grade 4.

Why it pays off later

A whole number over 1 looks odd now and saves trouble later. Multiplying uses it: 4 × 2/3 = 4/1 × 2/3 = 8/3, with no special rule. Subtracting uses the other form: 1 − 3/8 = 8/8 − 3/8 = 5/8. Reading the bar as division, so that 12/4 = 3, is Common Core 5.NF.3.

  • Start on Whole number with a given denominator: 3 = 12/4 because each of 3 wholes holds 4 fourths.
  • Missing numerator or denominator turns facts into fractions: 12 goes over 3 to make 4 because 12 ÷ 3 = 4.
  • Print One whole minus a fraction before subtracting mixed numbers: it is where pupils first put 8/8 to work.

Questions and answers

How do you write a whole number as a fraction?

Put it over 1: 5 = 5/1, because the fraction bar means divide and 5 ÷ 1 = 5. For any other denominator, multiply the whole number by it, so 5 = 10/2 = 15/3 = 20/4.

How do you tell if a fraction is a whole number?

Divide the numerator by the denominator. If nothing is left over, the fraction is a whole number. So 12/4 = 3 because 12 ÷ 4 = 3, while 13/4 leaves 1 over and becomes 3 1/4. The numerator has to be a multiple of the denominator.

Is 4/4 the same as 1?

Yes. Four fourths make one whole, so 4/4 = 1, and the same holds for 2/2, 3/3 or 100/100. On a number line 4/4 and 1 are the same point, which is how Common Core 3.NF.3c puts it.

How do you find a fraction of a whole number?

Multiply: 2/3 of 12 is 2/3 × 12 = 24/3 = 8. Or divide first, 12 ÷ 3 = 4, then 4 × 2 = 8. This page does not print those sheets, but multiplying fractions has them under Fraction × whole number.

All 11 sheet types

Whole numbers written as fractions 5

  • One whole, many names 1 = 2/2 = 3/3 = 8/8 = 100/100. The same number on top and bottom always makes 1. Pupils fill in the missing numerator or denominator.
  • Three names for one whole number 3 = 3/1 = 6/2 = 12/4. Pupils write one whole number over three denominators in a row and watch the numerator grow in step with the denominator.
  • Whole number over 1 7 = 7/1. A whole number is that many ones, so it sits over a denominator of 1. Common Core 3.NF.3c uses 3 = 3/1 as its own example. Whole numbers run from 1 to 20.
  • Whole number with a given denominator 3 = 12/4. Each whole holds 4 fourths, so 3 wholes hold 3 × 4 = 12 of them. The denominator is printed and pupils fill in the numerator.
  • Whole numbers as tenths and hundredths 3 = 30/10 = 300/100. Ten tenths or a hundred hundredths make each whole. It is the fraction behind writing 3 as 3.0 or 3.00.
Show all 11 sheet types (6 more)

Fractions equal to whole numbers 3

  • Division written as a fraction 3 ÷ 4 = 3/4 and 12 ÷ 4 = 12/4 = 3. Common Core 5.NF.3 and Texas 6.2(E) both read the fraction bar as division, which is why a number over 1 is only that number.
  • Fraction to whole number 12/4 = 3. The fraction bar means divide, and 12 ÷ 4 = 3. Every fraction on the sheet is a whole number in disguise, with denominators from 1 to 10.
  • Missing numerator or denominator What goes over 3 to make 4? It is 12, because 12/3 = 4. What goes under 15 to make 5? It is 3, because 15/3 = 5. Multiplication and division facts in fraction form.

Number lines and pictures 2

  • Count the pieces in whole shapes 3 whole circles cut into fourths hold 12 fourths, so 3 = 12/4. Pupils count the equal pieces in 1 to 5 whole circles or bars and write the fraction. Texas 2.3(C) has pupils count parts past one whole in words as early as grade 2.
  • Whole numbers on a fraction number line On a line from 0 to 3 marked in fourths, the whole numbers sit at 4/4, 8/4 and 12/4. Pupils write the fraction name under each whole number mark. Common Core 3.NF.3c places 4/4 and 1 at the same point.

Using it, word problems and review 1

  • One whole minus a fraction 1 − 3/8 = 8/8 − 3/8 = 5/8. Rename the 1 with the denominator you need, then subtract the numerators. The first place most pupils put 8/8 to work.

How this list was compiled: Own list of sheet types. Every worked example was checked with exact fraction arithmetic. Wording (any whole number over 1, a fraction whose numerator equals its denominator is 1, of as multiplication) was checked against https://en.wikipedia.org/wiki/Fraction. Standards were read in the full texts in September 2026: Common Core State Standards for Mathematics, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf (3.NF.3c, 3.NF.3d, 4.NF.3a, 4.NF.4b, 5.NF.3, 5.NF.4a); Texas Essential Knowledge and Skills, 19 TAC chapter 111, https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111a.pdf (2.3(C), 3.3(A), 4.3(A), 5.3(I)) and https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111b.pdf (6.2(E)). Licence: own work

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