30248

Question

{{part1}}

Worked Solution

{{{solution1}}}

Variant 0

DifficultyLevel

571

Question

What is the sum of 12\dfrac{1}{2} and 25\dfrac{2}{5} ?

Worked Solution

Establish a common denominator:
12×55\dfrac{1}{2} \times \dfrac{5}{5} = 510\dfrac{5}{10}
25×22\dfrac{2}{5} \times \dfrac{2}{2} = 410\dfrac{4}{10}

Adding the fractions:
510+410\dfrac{5}{10} + \dfrac{4}{10} = 910\dfrac{9}{10}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
What is the sum of $\dfrac{1}{2}$ and $\dfrac{2}{5}$ ?
solution1
sm_nogap Establish a common denominator:
| | | ------- | | $\dfrac{1}{2} \times \dfrac{5}{5}$ = $\dfrac{5}{10}$| | | | $\dfrac{2}{5} \times \dfrac{2}{2}$ = $\dfrac{4}{10}$|

sm_nogap Adding the fractions:
| | | ------- | | $\dfrac{5}{10} + \dfrac{4}{10}$ = $\dfrac{9}{10}$|
correctAnswer
$\dfrac{9}{10}$

Answers

Is Correct?Answer
x

710\dfrac{7}{10}

✓

910\dfrac{9}{10}

x

45\dfrac{4}{5}

x

35\dfrac{3}{5}

Variant 1

DifficultyLevel

571

Question

What is the sum of 14\dfrac{1}{4} and 23\dfrac{2}{3}?

Worked Solution

Establish a common denominator:
14×33\dfrac{1}{4} \times \dfrac{3}{3} = 312\dfrac{3}{12}
23×44\dfrac{2}{3} \times \dfrac{4}{4} = 812\dfrac{8}{12}

Adding the fractions:
312+812\dfrac{3}{12} + \dfrac{8}{12} = 1112\dfrac{11}{12}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
What is the sum of $\dfrac{1}{4}$ and $\dfrac{2}{3}$?
solution1
sm_nogap Establish a common denominator:
| | | ------- | | $\dfrac{1}{4} \times \dfrac{3}{3}$ = $\dfrac{3}{12}$| | | | $\dfrac{2}{3} \times \dfrac{4}{4}$ = $\dfrac{8}{12}$|

sm_nogap Adding the fractions:
| | | ------- | | $\dfrac{3}{12} + \dfrac{8}{12}$ = $\dfrac{11}{12}$|
correctAnswer
$\dfrac{11}{12}$

Answers

Is Correct?Answer
✓

1112\dfrac{11}{12}

x

712\dfrac{7}{12}

x

34\dfrac{3}{4}

x

56\dfrac{5}{6}

Variant 2

DifficultyLevel

574

Question

What is the sum of 34\dfrac{3}{4} and 15\dfrac{1}{5} ?

Worked Solution

Establish a common denominator:
34×55\dfrac{3}{4} \times \dfrac{5}{5} = 1520\dfrac{15}{20}
15×44\dfrac{1}{5} \times \dfrac{4}{4} = 420\dfrac{4}{20}

Adding the fractions:
1520+420\dfrac{15}{20} + \dfrac{4}{20} = 1920\dfrac{19}{20}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
What is the sum of $\dfrac{3}{4}$ and $\dfrac{1}{5}$ ?
solution1
sm_nogap Establish a common denominator:
| | | ------- | | $\dfrac{3}{4} \times \dfrac{5}{5}$ = $\dfrac{15}{20}$| | | | $\dfrac{1}{5} \times \dfrac{4}{4}$ = $\dfrac{4}{20}$|

sm_nogap Adding the fractions:
| | | ------- | | $\dfrac{15}{20} + \dfrac{4}{20}$ = $\dfrac{19}{20}$|
correctAnswer
$\dfrac{19}{20}$

Answers

Is Correct?Answer
x

45\dfrac{4}{5}

x

910\dfrac{9}{10}

x

1720\dfrac{17}{20}

✓

1920\dfrac{19}{20}

Variant 3

DifficultyLevel

572

Question

What is the sum of 16\dfrac{1}{6} and 13\dfrac{1}{3}?

Worked Solution

Establish a common denominator:
13×22\dfrac{1}{3} \times \dfrac{2}{2} = 26\dfrac{2}{6}

Then add the fractions:
16+26\dfrac{1}{6} + \dfrac{2}{6} = 36\dfrac{3}{6} = 12\dfrac{1}{2}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
What is the sum of $\dfrac{1}{6}$ and $\dfrac{1}{3}$?
solution1
sm_nogap Establish a common denominator:
| | | ------- | | $\dfrac{1}{3} \times \dfrac{2}{2}$ = $\dfrac{2}{6}$|

sm_nogap Then add the fractions:
| | | ------- | | $\dfrac{1}{6} + \dfrac{2}{6}$ = $\dfrac{3}{6}$ = $\dfrac{1}{2}$|
correctAnswer
$\dfrac{1}{2}$

Answers

Is Correct?Answer
x

46\dfrac{4}{6}

✓

12\dfrac{1}{2}

x

34\dfrac{3}{4}

x

56\dfrac{5}{6}

Variant 4

DifficultyLevel

566

Question

What is the sum of 38\dfrac{3}{8} and 14\dfrac{1}{4}?

Worked Solution

Establish a common denominator:
14×22\dfrac{1}{4} \times \dfrac{2}{2} = 28\dfrac{2}{8}

Adding the fractions:
38+28\dfrac{3}{8} + \dfrac{2}{8} = 58\dfrac{5}{8}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
What is the sum of $\dfrac{3}{8}$ and $\dfrac{1}{4}$?
solution1
sm_nogap Establish a common denominator:
| | | ------- | | $\dfrac{1}{4} \times \dfrac{2}{2}$ = $\dfrac{2}{8}$|

sm_nogap Adding the fractions:
| | | ------- | | $\dfrac{3}{8} + \dfrac{2}{8}$ = $\dfrac{5}{8}$|
correctAnswer
$\dfrac{5}{8}$

Answers

Is Correct?Answer
x

23\dfrac{2}{3}

✓

58\dfrac{5}{8}

x

34\dfrac{3}{4}

x

78\dfrac{7}{8}