20181

Question

Which of these fractions has the greatest value?

Worked Solution

Lowest common denominator = 48

Convert all fractions so that the denomiator = 48:
23×1616\dfrac{2}{3} \times \dfrac{16}{16} = 3248\dfrac{32}{48}
1924×22\dfrac{19}{24} \times \dfrac{2}{2} = 3848\dfrac{38}{48}
56×88\dfrac{5}{6} \times \dfrac{8}{8} = 4048\dfrac{40}{48}
1416×33\dfrac{14}{16} \times \dfrac{3}{3} = 4248\dfrac{42}{48}

∴\therefore {{{correctAnswer}}} has the greatest value.

Variant 0

DifficultyLevel

675

Question

Which of these fractions has the greatest value?

Worked Solution

Lowest common denominator = 48

Convert all fractions so that the denomiator = 48:
23×1616\dfrac{2}{3} \times \dfrac{16}{16} = 3248\dfrac{32}{48}
1924×22\dfrac{19}{24} \times \dfrac{2}{2} = 3848\dfrac{38}{48}
56×88\dfrac{5}{6} \times \dfrac{8}{8} = 4048\dfrac{40}{48}
1416×33\dfrac{14}{16} \times \dfrac{3}{3} = 4248\dfrac{42}{48}

∴\therefore 1416\dfrac{14}{16} has the greatest value.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
$\dfrac{14}{16}$

Answers

Is Correct?Answer
x

23\dfrac{2}{3}

x

1924\dfrac{19}{24}

x

56\dfrac{5}{6}

✓

1416\dfrac{14}{16}