Question

Put the following fractions in order from largest to smallest: 1/8, 1/64, 2/8, 3/16

Answer 1

To arrange the listed fractions from largest to smallest: 2/8, 3/16, 1/8, 1/64. Convert fractions to a common denominator or decimals for comparison, and set ratios equal to write a proportion.

Step-by-step explanation:

When arranging fractions from largest to smallest, we must compare their values. To easily compare them, they should have a common denominator or be converted to decimals. Here's how you can arrange the given fractions:

• 1/8
• 1/64
• 2/8
• 3/16

First, notice that 2/8 is equal to 1/4 after reducing it (by dividing both numerator and denominator by 2), and 3/16 can be compared directly with 1/8 because 16 is a multiple of 8. Thus, we need to convert 1/64 into a fraction with a denominator of 8 or 16 to compare it with the others.

To compare 1/64 with 1/8, notice that 64 is 8 times 8, so 1/64 is much smaller than 1/8. Now, we directly compare 3/16 and 1/8 by doubling the numerator and the denominator of 1/8 to get 2/16, which shows that 3/16 is larger because both fractions have the same denominator but 3/16 has a larger numerator.

Ordering them from largest to smallest, we get:

1. 2/8 (which is the same as 1/4)
2. 3/16
3. 1/8
4. 1/64

To write a proportion with ratios, such as 1/48 = w/16, you set them equal to one another and solve for the missing variable. Here w represents the width in feet, as feet is the only unit given:

1/48 = w/16 -> Multiply both sides by 16 to solve for w:

16 * (1/48) = w

w = 16/48 which reduces to w = 1/3 (after dividing both numerator and denominator by 16).