Ratio and Proportion: 0.6: X=0.3:2 (Enter numeric value only.)

To solve the proportion = , use cross-multiplication:

45×105=35×𝑋

Calculate the left side:

45×105=4725

Now set up the equation:

4725=35𝑋

Solve for X by dividing both sides by 35:

𝑋= = 135

Thus, the value of X is 135.

To determine which expression is the largest, you can consider each ratio or fraction and evaluate its decimal equivalent or compare its relative value. Each expression lists a ratio of 1 to another number, so essentially, we're looking at fractions:

• A
• B
• C
• D

Among these, the largest fraction is the one with the smallest denominator, because the whole (1 in this case) is divided into fewer parts, making each part larger. Therefore, the largest fraction, and thus the largest expression, is: C 1:2

To add the fractions ​ and , we will need a common denominator. The least common denominator between 8 and 2 is 8.

Convert 12​ to a fraction with 8 as the denominator:

= =

Now add the two fractions:

​+ = =

The result, ​, is an improper fraction, which can be converted into a mixed number:

=

Thus, the answer is A 1 1/8.

To add the mixed numbers ​ and ​, First add the whole numbers part separately and the fraction part separately

5 + 7 = 12

Now convert the fractions part with a common denominator and then perform the addition.

1. Find a common denominator: The least common multiple (LCM) of 4 and 3 is 12. So, convert each fraction:

= =

= =

1. Add the two fractions:

+ = =

1. Now combine the whole number part with the fraction part

12 + =

Thus, the answer is A 12 7/12.