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Ann [662]
3 years ago
12

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

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0

Answer:

2/5<7/12 is true

Step-by-step explanation:

2/5 multiply the numerator and denominator by 12 you get 24/60

7/12 multiply the numerator and denominator by 5 you get 35/60

24/60 IS less than 35/60                                    

Kazeer [188]3 years ago
5 0

\sf \frac{2}{5}  <  \frac{7}{12} \: is \: true

We will cross multiply the fraction and check them!

To compare the fraction we need common denominators.

Let's solve~

<h3>#1</h3>

\sf  \frac{2}{5}  <  \frac{7}{12}  \\  \sf 2 \times 12 < 5 \times 7 \\  \sf 24 < 35 \\  \tt true

\rule{300pt}{3pt}

<h3>#2</h3>

\sf  \frac{2}{3}  <  \frac{1}{8}  \\  \sf 8 \times 2 < 3 \times 1 \\  \sf \: 16 < 3 \\  \tt \: false

\rule{300pt}{3pt}

<h3>#3</h3>

\sf \frac{1}{4}  >  \frac{7}{10}  \\  \sf 10 \times 1 > 7 \times 4 \\  \sf 10 > 8 \\  \tt \: false

\rule{300pt}{3pt}

<h3>#4</h3>

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

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