LeilaniParham2007
Answered

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Which inequality is true?
2/5<7/12
2/3<1/8
1/4>7/10
3/10>5/8

Sagot :

[tex] \sf \frac{2}{5} < \frac{7}{12} \: is \: true[/tex]

We will cross multiply the fraction and check them!

To compare the fraction we need common denominators.

Let's solve~

#1

[tex] \sf \frac{2}{5} < \frac{7}{12} \\ \sf 2 \times 12 < 5 \times 7 \\ \sf 24 < 35 \\ \tt true[/tex]

[tex]\rule{300pt}{3pt}[/tex]

#2

[tex] \sf \frac{2}{3} < \frac{1}{8} \\ \sf 8 \times 2 < 3 \times 1 \\ \sf \: 16 < 3 \\ \tt \: false[/tex]

[tex]\rule{300pt}{3pt}[/tex]

#3

[tex] \sf \frac{1}{4} > \frac{7}{10} \\ \sf 10 \times 1 > 7 \times 4 \\ \sf 10 > 8 \\ \tt \: false[/tex]

[tex]\rule{300pt}{3pt}[/tex]

#4

[tex] \sf \frac{3}{10} > \frac{5}{8} \\ \sf 8 \times 3 > 10 \times 5 \\ \sf 24 > 50 \\ \tt \: false[/tex]

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