Adding and subtracting fractions with the same denominator

The Maths Habit

  1. What fraction of the bar is shaded?

    56
  2. Find the missing number. 12 = ?6

    3
  3. Write 48 in its simplest form.

    12

Jo has 2 slices of a loaf. Sam has 3 slices of the same loaf. They put them on one plate. Are the slices any smaller now?

No. There are 5 slices, each the same size as before.

Numerator
The top number of a fraction.
Denominator
The bottom number of a fraction.
Same denominator
Fractions whose wholes are cut into the same number of equal parts.

57shaded partsequal parts
  1. Shade the first fraction.
  2. Shade the second fraction next to it.Hatch it the other way.
  3. Same size parts, same bottom.Count the shaded parts for the top.

What is the bottom of the answer?

38 + 48 8. The parts are still eighths.

27 + 37. Is the answer 57 or 514?

57. The parts are still sevenths.

Work out 39 + 49. Same size parts, same bottom. Count the parts. 79

79

Work out 16 + 46. Same size parts, same bottom. Count the parts. 56

65

Work out 39 + 49. Same size parts, same bottom. Count the parts. 79

79

Work out 28 + 58. Same size parts, same bottom. Count the parts. 78

78

Work out 39 + 49. Same size parts, same bottom. Count the parts. 79

79

Work out 310 + 410. Same size parts, same bottom. Count the parts. 710

107

Work out 39 + 49. Same size parts, same bottom. Count the parts. 79

79

Find the missing fraction. 15 + ?5 = 45 35

35

Work out 39 + 49. Same size parts, same bottom. Count the parts. 79

79

Work out 18 + 28 + 38. Same size parts, same bottom. Count the parts. 68

68

Adding and subtracting fractions with the same denominator worksheet, page 1

How many parts are left?

4, so 49

Work out 710 − 310. Cross out the parts you take away. Same size parts, same bottom. Count the parts. 410

410

Work out 56 − 16. Cross out the parts you take away. Same size parts, same bottom. Count the parts. 46

64

Work out 710 − 310. Cross out the parts you take away. Same size parts, same bottom. Count the parts. 410

410

Work out 68 − 48. Cross out the parts you take away. Same size parts, same bottom. Count the parts. 28

28

Work out 25 + 35. Write the answer as a whole number. Same size parts, same bottom. Count the parts. 55 = 1

55

Work out 1 − 38. One whole is 88. Same size parts, same bottom. Count the parts. 58

58

Work out 25 + 35. Write the answer as a whole number. Same size parts, same bottom. Count the parts. 55 = 1

55

Work out 1 − 46. One whole is 66. Same size parts, same bottom. Count the parts. 26

26

Adding and subtracting fractions with the same denominator worksheet, page 2

Answer sheet

Thumbs up: it is right. Thumbs down: it is wrong.

  1. 27 + 37 = 57

    Right
  2. 14 + 24 = 38

    Wrong: it is 34
  3. 56 − 16 = 46

    Right
  4. 35 + 25 = 1

    Right
  5. 410 + 310 = 720

    Wrong: it is 710

  1. Write two fractions with 9 on the bottom that add up to 1.

    49 and 59, for example
  2. Work out 27 + 37 + 17.

    67
  3. What must you add to 512 to make 1?

    712

  1. Work out 29 + 59.

    79
  2. Work out 78 − 48.

    38
  3. Work out 36 + 36. Write the answer as a whole number.

    1
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