Question

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

Answer 1

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                                    

Answer 2

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

We will cross multiply the fraction and check them!

To compare the fraction we need common denominators.

Let's solve~

#1

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

$\rule{300pt}{3pt}$

#2

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

$\rule{300pt}{3pt}$

#3

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

$\rule{300pt}{3pt}$

#4

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