Question

Compare each pair of rationals using a <, >, or =. 7. 3/4 ____ 7/10 8. -1.6 ____ 0.3 9. 2.8 ____ 5/2

Answer 1

Step-by-step explanation:

To know when a fraction is greater than another, the following procedure must be done, they must be multiplied by a cross and the result in whole number will determine which of the two is greater.

`\begin{gathered} 7.(3)/(4)\text{ }>(7)/(10)=(3*10)=30(4*7)=28 \\ \\ \end{gathered}`

7.You must first cross multiply the denominator of the first fraction with the number of the second fraction, then multiply the denominator of the second fraction with the numerator of the first fraction,So you will have the exact answer of which is the greatest.

`8.\text{ -1.6 }<0.3`

8.Every negative number that moves away from zero is always less than zero.

9.To compare or know which is greater if a decimal or a fraction we must divide the fraction between itself and this will give me a decimal, now if I can compare;

`\begin{gathered} (5)/(2)=2.5_{} \\ \text{Now }compare\text{ the two decimals:} \\ 2.8>2.5; \end{gathered}`

that is, 2.8 is greater than the fraction 5/2