# Using a Common Denominator to Order Fraction Online Quiz

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Following quiz provides Multiple Choice Questions (MCQs) related to Using a Common Denominator to Order Fraction. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - First, rewrite $\frac{2}{5}$ and $\frac{10}{11}$ so that they have a common denominator. Then use <, = or > to order $\frac{2}{5}$ and $\frac{10}{11}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{2}{5}$ and $\frac{10}{11}$ is 55.

Step 2:

Rewriting the fractions with this denominator.

$\frac{2}{5}$ = 2×11 ÷ 5×11 = $\frac{22}{55}$

$\frac{10}{11}$ = 10×5 ÷ 11×5 = $\frac{50}{55}$

Step 3:

Ordering them using their numerators.

Because 22 < 50, we have

$\frac{22}{55}$ < $\frac{50}{55}$

Step 4:

Writing these fractions in original form $\frac{2}{5}$ < $\frac{10}{11}$

Q 2 - First, rewrite $\frac{3}{4}$ and $\frac{7}{9}$ so that they have a common denominator. Then use <, = or > to order $\frac{3}{4}$ and $\frac{7}{9}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{3}{4}$ and $\frac{7}{9}$ is 36.

Step 2:

Rewriting the fractions with this denominator.

$\frac{3}{4}$ = 3×9 ÷ 4×9 = $\frac{27}{36}$

$\frac{7}{9}$ = 7×4 ÷ 9×4 = $\frac{28}{36}$

Step 3:

Because 27 < 28, we have

$\frac{27}{36}$ < $\frac{28}{36}$

Step 4:

Writing these fractions in original form $\frac{3}{4}$ < $\frac{7}{9}$

Q 3 - First, rewrite $\frac{2}{5}$ and $\frac{4}{10}$ so that they have a common denominator. Then use <, = or > to order 2/5 and $\frac{4}{10}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{2}{5}$ and $\frac{4}{10}$ is 10.

Step 2:

Rewriting the fractions with this denominator.

$\frac{2}{5}$ = 2×2 ÷ 5×2 = $\frac{4}{10}$

$\frac{4}{10}$ = 4×1 ÷ 10×1 = $\frac{4}{10}$

Step 3:

Because 4 = 4, we have $\frac{4}{10}$ = $\frac{4}{10}$

Step 4:

Writing these fractions in original form $\frac{2}{5}$ = $\frac{4}{10}$

Q 4 - First, rewrite $\frac{2}{6}$ and $\frac{3}{10}$ so that they have a common denominator. Then use <, = or > to order $\frac{2}{6}$ and $\frac{3}{10}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{2}{6}$ and $\frac{3}{10}$ is 30.

Step 2:

Rewriting the fractions with this denominator.

$\frac{2}{6}$ = 2×5 ÷ 6×5 = $\frac{10}{30}$

$\frac{3}{10}$ = 3×3 ÷ 10×3 = $\frac{9}{30}$

Step 3:

Because 9 < 10, we have $\frac{9}{30}$ < $\frac{10}{30}$

Step 4:

Writing these fractions in original form $\frac{3}{10}$ < $\frac{2}{6}$ or $\frac{2}{6}$ > $\frac{3}{10}$

Q 5 - First, rewrite $\frac{9}{11}$ and $\frac{5}{7}$ so that they have a common denominator. Then use <, = or > to order $\frac{9}{11}$ and $\frac{5}{7}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{9}{11}$ and $\frac{5}{7}$ is 77.

Step 2:

Rewriting the fractions with this denominator.

$\frac{9}{11}$ = 9×7 ÷ 11×7 = $\frac{63}{77}$

$\frac{5}{7}$ = 5×11 ÷ 7×11 = $\frac{55}{77}$

Step 3:

Because 55 < 63, we have $\frac{55}{77}$ < $\frac{63}{77}$

Step 4:

Writing these fractions in original form $\frac{5}{7}$ < $\frac{9}{11}$ or $\frac{9}{11}$ > $\frac{5}{7}$

Q 6 - First, rewrite $\frac{2}{3}$ and $\frac{4}{9}$ so that they have a common denominator. Then use >, = or > to order $\frac{2}{3}$ and $\frac{4}{9}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{2}{3}$ and $\frac{4}{9}$ is 9.

Step 2:

Rewriting the fractions with this denominator.

$\frac{2}{3}$ = 2×3 ÷ 3×3 = $\frac{6}{9}$

$\frac{4}{9}$ = 4×1 ÷ 9×1 = $\frac{4}{9}$

Step 3:

Because 4 < 6, we have $\frac{4}{9}$ < $\frac{6}{9}$

Step 4:

Writing these fractions in original form $\frac{4}{9}$ < $\frac{2}{3}$ or $\frac{2}{3}$ > $\frac{4}{9}$

Q 7 - First, rewrite $\frac{2}{7}$ and $\frac{9}{10}$ so that they have a common denominator. Then use <, = or > to order $\frac{2}{3}$ and $\frac{9}{10}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{2}{7}$ and $\frac{9}{10}$ is 70.

Step 2:

Rewriting the fractions with this denominator.

$\frac{2}{7}$ = 2×10 ÷ 7×10 = $\frac{20}{70}$

$\frac{9}{10}$ = 9×7 ÷ 10×7 = $\frac{63}{70}$

Step 3:

Because 20 < 63, we have $\frac{20}{70}$ < $\frac{63}{70}$

Step 4:

Writing these fractions in original form $\frac{2}{7}$ < $\frac{9}{10}$

Q 8 - First, rewrite $\frac{8}{9}$ and $\frac{5}{6}$ so that they have a common denominator. Then use <, = or > to order $\frac{8}{9}$ and $\frac{5}{6}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{8}{9}$ and $\frac{5}{6}$ is 18.

Step 2:

Rewriting the fractions with this denominator.

$\frac{8}{9}$ = 8×2 ÷9×2 = $\frac{16}{18}$

$\frac{5}{6}$ = 5×3 ÷ 6×3 = $\frac{15}{18}$

Step 3:

Because 15 < 16, we have $\frac{15}{18}$ < $\frac{16}{18}$

Step 4:

Writing these fractions in original form $\frac{5}{6}$ < $\frac{8}{9}$ or $\frac{8}{9}$ > $\frac{5}{6}$

Q 9 - First, rewrite $\frac{7}{9}$ and $\frac{10}{12}$ so that they have a common denominator. Then use <, = or > to order $\frac{7}{9}$ and $\frac{10}{12}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{7}{9}$ and $\frac{10}{12}$ is 36.

Step 2:

Rewriting the fractions with this denominator.

$\frac{7}{9}$ = 7×4 ÷ 9×4 = $\frac{28}{36}$

$\frac{12}{10}$ = 10×3 ÷ 12×3 = $\frac{30}{36}$

Step 3:

Because 28 < 30, we have $\frac{28}{36}$ < $\frac{30}{36}$

Step 4:

Writing these fractions in original form $\frac{7}{9}$ < $\frac{10}{12}$

Q 10 - First, rewrite $\frac{3}{8}$ and $\frac{2}{7}$ so that they have a common denominator. Then use <, = or > to order $\frac{3}{8}$ and $\frac{2}{7}$.

### Explanation

Step 1:

We rewrite the fractions so that they have a common denominator. The LCD of $\frac{3}{8}$ and $\frac{2}{7}$ is 56.

Step 2:

Rewriting the fractions with this denominator.

$\frac{3}{8}$ = 3×7 ÷ 8×7 = $\frac{21}{56}$

$\frac{2}{7}$ = 2×8 ÷ 7×8 = $\frac{16}{56}$

Step 3:

Because 16 < 21, we have $\frac{16}{56}$ < $\frac{21}{56}$

Step 4:

Writing these fractions in original form $\frac{2}{7}$ < $\frac{3}{8}$ or $\frac{3}{8}$ > $\frac{2}{7}$

using_common_denominator_to_order_fraction.htm