Question

Write this ratio as a fraction in simplest form without any units. 21 feet 8 yards you can use the table below to help convert the units. Length: 1 foot = 12 inches. 1 yard = 3 feet. Weight: 1 pound = 16 ounces Capacity (Volume) 1 quart = 2 pints. 1 gallon = 4 quarts

Answer 1

To convert 21 feet to 8 yards as a fraction, convert feet to yards using the conversion factor 1 yard = 3 feet. The ratio then becomes 7 yards to 8 yards, simplified to 7/8.

Step-by-step explanation:

Converting Units

To write the ratio of 21 feet to 8 yards as a fraction in simplest form, we must first ensure both quantities are in the same unit. Let's choose yards since it's larger. We know that 1 yard = 3 feet, thus, converting 21 feet to yards gives us 21 feet ÷ 3 feet per yard = 7 yards. Now, both our quantities are in yards and we can form the ratio: 7 yards to 8 yards which simplifies to 7/8.

Conversion Examples

Here are some examples of converting measurements:

• 195 inches to yards: Divide by 36 (since 1 yard = 3 feet, and 1 foot = 12 inches, so there are 36 inches in a yard).
  
• 0.2 miles to yards: Multiply by 1760 (since 1 mile = 1760 yards).

To convert ounces to pounds, simply divide by 16, as the customary standard weight indicates that 16 ounces = 1 pound.

Converting quarts to pints involves multiplying by 2, according to the customary standard liquid conversion, which states 1 quart = 2 pints.

Answer 2

7/10

Step-by-step explanation:

1 yard = 3 feet

Then the given ratio is ..

21 feet : 10 yards = 7 yards : 10 yards = 7 : 10

As a fraction, the ratio is 7/10.