45:X=35:105

Find the value of X. (Enter the whole number only.)

To compare the two fractions, make the fractions have same denominator and compare the numerators.

¼ can be written as 8/24.

Now compare 8/24 and 2/24.

Comparing the numerators, 8 is greater than 2

Therefore, ¼ is greater than 2/24. The correct answer is A greater than.

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 solve the problem 5÷ 2​, you need to convert each mixed number into an improper fraction first:

1. 5= ​ because 5×2+1=11
2. 2= ​.

Now divide the fractions

÷

This can be done by multiplying the first fraction by the reciprocal of the second fraction:

=÷

=

=

=

can also be expressed as a mixed fraction: 2.

Answer: A 2 1/5

Set up a proportion where the ratios must be equal.

=

This can be solved by cross-multiplying:

200×𝑋=2×20

200𝑋=40

Now, solve for X by dividing both sides by 200:

𝑋= ​= 0.2

Thus, the value of X is 0.2.