Comparing Fractions - SSAT Middle Level: Quantitative
Card 1 of 25
Which is greater: $
\frac{11}{15}$ or $
\frac{3}{5}$?
Which is greater: $
\frac{11}{15}$ or $
\frac{3}{5}$?
Tap to reveal answer
$\frac{11}{15}$. Because $11 \times 5 = 55 > 3 \times 15 = 45$.
$\frac{11}{15}$. Because $11 \times 5 = 55 > 3 \times 15 = 45$.
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What must be true about $b$ and $d$ before using cross-multiplication on $
\frac{a}{b}$ and $
\frac{c}{d}$?
What must be true about $b$ and $d$ before using cross-multiplication on $
\frac{a}{b}$ and $
\frac{c}{d}$?
Tap to reveal answer
$b>0$ and $d>0$ (positive denominators). Positive denominators ensure the inequality direction remains the same after cross-multiplying.
$b>0$ and $d>0$ (positive denominators). Positive denominators ensure the inequality direction remains the same after cross-multiplying.
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Which is greater: $
\frac{6}{17}$ or $
\frac{7}{19}$?
Which is greater: $
\frac{6}{17}$ or $
\frac{7}{19}$?
Tap to reveal answer
$\frac{7}{19}$. Because $6 \times 19 = 114 < 7 \times 17 = 119$.
$\frac{7}{19}$. Because $6 \times 19 = 114 < 7 \times 17 = 119$.
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Which is greater: $
\frac{10}{21}$ or $
\frac{3}{7}$?
Which is greater: $
\frac{10}{21}$ or $
\frac{3}{7}$?
Tap to reveal answer
$\frac{10}{21}$. Because $10 \times 7 = 70 > 3 \times 21 = 63$.
$\frac{10}{21}$. Because $10 \times 7 = 70 > 3 \times 21 = 63$.
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Which is greater: $
\frac{4}{9}$ or $
\frac{5}{12}$?
Which is greater: $
\frac{4}{9}$ or $
\frac{5}{12}$?
Tap to reveal answer
$\frac{4}{9}$. Because $4 \times 12 = 48 > 5 \times 9 = 45$.
$\frac{4}{9}$. Because $4 \times 12 = 48 > 5 \times 9 = 45$.
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Which is greater: $
\frac{8}{9}$ or $
\frac{9}{10}$?
Which is greater: $
\frac{8}{9}$ or $
\frac{9}{10}$?
Tap to reveal answer
$\frac{9}{10}$. Because $8 \times 10 = 80 < 9 \times 9 = 81$.
$\frac{9}{10}$. Because $8 \times 10 = 80 < 9 \times 9 = 81$.
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What method compares $
\frac{a}{b}$ and $
\frac{c}{d}$ by checking whether $ad$ is greater than $bc$?
What method compares $
\frac{a}{b}$ and $
\frac{c}{d}$ by checking whether $ad$ is greater than $bc$?
Tap to reveal answer
Cross-multiplication: compare $ad$ and $bc$. This method determines if $\frac{a}{b} > \frac{c}{d}$ by checking if $ad > bc$ when denominators are positive.
Cross-multiplication: compare $ad$ and $bc$. This method determines if $\frac{a}{b} > \frac{c}{d}$ by checking if $ad > bc$ when denominators are positive.
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Which is greater: $
\frac{3}{10}$ or $
\frac{7}{25}$?
Which is greater: $
\frac{3}{10}$ or $
\frac{7}{25}$?
Tap to reveal answer
$\frac{3}{10}$. Because $3 \times 25 = 75 > 7 \times 10 = 70$.
$\frac{3}{10}$. Because $3 \times 25 = 75 > 7 \times 10 = 70$.
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Which is greater: $
\frac{3}{7}$ or $
\frac{4}{9}$?
Which is greater: $
\frac{3}{7}$ or $
\frac{4}{9}$?
Tap to reveal answer
$\frac{4}{9}$. Because $3 \times 9 = 27 < 4 \times 7 = 28$.
$\frac{4}{9}$. Because $3 \times 9 = 27 < 4 \times 7 = 28$.
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Which is greater: $
\frac{5}{12}$ or $
\frac{2}{5}$?
Which is greater: $
\frac{5}{12}$ or $
\frac{2}{5}$?
Tap to reveal answer
$\frac{5}{12}$. Because $5 \times 5 = 25 > 2 \times 12 = 24$.
$\frac{5}{12}$. Because $5 \times 5 = 25 > 2 \times 12 = 24$.
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Which is greater: $
\frac{7}{10}$ or $
\frac{3}{4}$?
Which is greater: $
\frac{7}{10}$ or $
\frac{3}{4}$?
Tap to reveal answer
$\frac{3}{4}$. Because $7 \times 4 = 28 < 3 \times 10 = 30$.
$\frac{3}{4}$. Because $7 \times 4 = 28 < 3 \times 10 = 30$.
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Which is greater: $
\frac{13}{20}$ or $
\frac{2}{3}$?
Which is greater: $
\frac{13}{20}$ or $
\frac{2}{3}$?
Tap to reveal answer
$\frac{2}{3}$. Because $13 \times 3 = 39 < 2 \times 20 = 40$.
$\frac{2}{3}$. Because $13 \times 3 = 39 < 2 \times 20 = 40$.
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Which is greater: $
\frac{5}{6}$ or $
\frac{7}{9}$?
Which is greater: $
\frac{5}{6}$ or $
\frac{7}{9}$?
Tap to reveal answer
$\frac{5}{6}$. Because $5 \times 9 = 45 > 7 \times 6 = 42$.
$\frac{5}{6}$. Because $5 \times 9 = 45 > 7 \times 6 = 42$.
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Which is greater: $
\frac{9}{16}$ or $
\frac{5}{8}$?
Which is greater: $
\frac{9}{16}$ or $
\frac{5}{8}$?
Tap to reveal answer
$\frac{5}{8}$. Because $9 \times 8 = 72 < 5 \times 16 = 80$.
$\frac{5}{8}$. Because $9 \times 8 = 72 < 5 \times 16 = 80$.
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Which is greater: $
\frac{4}{11}$ or $
\frac{3}{8}$?
Which is greater: $
\frac{4}{11}$ or $
\frac{3}{8}$?
Tap to reveal answer
$\frac{3}{8}$. Because $4 \times 8 = 32 < 3 \times 11 = 33$.
$\frac{3}{8}$. Because $4 \times 8 = 32 < 3 \times 11 = 33$.
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Which is greater: $
\frac{7}{12}$ or $
\frac{5}{9}$?
Which is greater: $
\frac{7}{12}$ or $
\frac{5}{9}$?
Tap to reveal answer
$\frac{7}{12}$. Because $7 \times 9 = 63 > 5 \times 12 = 60$.
$\frac{7}{12}$. Because $7 \times 9 = 63 > 5 \times 12 = 60$.
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Which is greater: $
\frac{9}{14}$ or $
\frac{2}{3}$?
Which is greater: $
\frac{9}{14}$ or $
\frac{2}{3}$?
Tap to reveal answer
$\frac{2}{3}$. Because $9 \times 3 = 27 < 2 \times 14 = 28$.
$\frac{2}{3}$. Because $9 \times 3 = 27 < 2 \times 14 = 28$.
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Which is greater: $
\frac{7}{8}$ or $
\frac{11}{12}$?
Which is greater: $
\frac{7}{8}$ or $
\frac{11}{12}$?
Tap to reveal answer
$\frac{11}{12}$. Because $7 \times 12 = 84 < 11 \times 8 = 88$.
$\frac{11}{12}$. Because $7 \times 12 = 84 < 11 \times 8 = 88$.
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Which is greater: $
\frac{1}{2}$ or $
\frac{3}{7}$?
Which is greater: $
\frac{1}{2}$ or $
\frac{3}{7}$?
Tap to reveal answer
$\frac{1}{2}$. Because $1 \times 7 = 7 > 3 \times 2 = 6$.
$\frac{1}{2}$. Because $1 \times 7 = 7 > 3 \times 2 = 6$.
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Which is greater: $
\frac{6}{13}$ or $
\frac{7}{15}$?
Which is greater: $
\frac{6}{13}$ or $
\frac{7}{15}$?
Tap to reveal answer
$\frac{7}{15}$. Because $6 \times 15 = 90 < 7 \times 13 = 91$.
$\frac{7}{15}$. Because $6 \times 15 = 90 < 7 \times 13 = 91$.
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Which is greater: $
\frac{2}{9}$ or $
\frac{1}{4}$?
Which is greater: $
\frac{2}{9}$ or $
\frac{1}{4}$?
Tap to reveal answer
$\frac{1}{4}$. Because $2 \times 4 = 8 < 1 \times 9 = 9$.
$\frac{1}{4}$. Because $2 \times 4 = 8 < 1 \times 9 = 9$.
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Which is greater: $
\frac{5}{7}$ or $
\frac{3}{4}$?
Which is greater: $
\frac{5}{7}$ or $
\frac{3}{4}$?
Tap to reveal answer
$\frac{3}{4}$. Because $5 \times 4 = 20 < 3 \times 7 = 21$.
$\frac{3}{4}$. Because $5 \times 4 = 20 < 3 \times 7 = 21$.
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Which is greater: $
\frac{9}{25}$ or $
\frac{2}{5}$?
Which is greater: $
\frac{9}{25}$ or $
\frac{2}{5}$?
Tap to reveal answer
$\frac{2}{5}$. Because $9 \times 5 = 45 < 2 \times 25 = 50$.
$\frac{2}{5}$. Because $9 \times 5 = 45 < 2 \times 25 = 50$.
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Which is greater: $
\frac{12}{17}$ or $
\frac{5}{8}$?
Which is greater: $
\frac{12}{17}$ or $
\frac{5}{8}$?
Tap to reveal answer
$\frac{12}{17}$. Because $12 \times 8 = 96 > 5 \times 17 = 85$.
$\frac{12}{17}$. Because $12 \times 8 = 96 > 5 \times 17 = 85$.
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Which is greater: $
\frac{14}{15}$ or $
\frac{9}{10}$?
Which is greater: $
\frac{14}{15}$ or $
\frac{9}{10}$?
Tap to reveal answer
$\frac{14}{15}$. Because $14 \times 10 = 140 > 9 \times 15 = 135$.
$\frac{14}{15}$. Because $14 \times 10 = 140 > 9 \times 15 = 135$.
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