Question

Fill in the blank with a symbol that makes this statement true please help with my homework

Answer 1

2.5=2 1/2 = 5/2
2/5 = 0.4
bring to decimals 2.5 >0.4
because by dropping the decimal points we gave 25>4
compering by fraction 2 1/2 = 5/2
2/5
bring to a common denominator of 10  5(5) / 2(5); 2(2) / 5(2)=>
25/10; 4/10
compare numerators 25>4

Answer 2

Denominator 2 is a prime number
Denominator 5 is a prime number
LCM (2, 5) = 2 * 5 = 10
For fraction: 1 / 2 is 10 : 2 = (2 * 5) : 2 = 5
For fraction: 2 / 5 is 10 : 5 = (2 * 5) : 5 = 2
1 / 2 = (5 * 1) / (5 * 2) = 5 / 10
2 / 5 = (2 * 2) / (2 * 5) = 4 / 10
4 / 10 < 5 / 10
2 / 5 < 1 / 2