Question

Mr.Ravenhead’s car averages 23.75 miles per gallon of gallon of gasoline. Express this amount as a mixed number in simplest form. The Siberian tiger can grow up to 10 4/5 feet long. Express this length as a decimal What is the relationship between fractions and decimals?

Answer 1

,SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

For part A :

Mr.Ravenhead’s car averages 23.75 miles per gallon of gasoline.

Express this amount as a mixed number in the simplest form.

`23.75\text{ = 23}(3)/(4)\text{ (mixed number)}`

Step 3:

For part B:

The Siberian tiger can grow up to 10 4/5 feet long.

Express this length as a decimal:

`10(4)/(5)\text{ = 10.8 (decimal )}`

Step 4:

For part C:

What is the relationship between fractions and decimals?

Fractions are ratios of two numbers. Often, these numbers are each whole numbers, such as 1/2 or 3/4. Fractions, however, can also be used to express ratios of partial numbers.

They are mostly used for portions that are easily broken apart.

On the other hand, Decimals are numbers that fall between integers and are described as digits following a decimal point.

Decimals use a system of numbers based on units of tens, which results in the spaces past the decimal point as tenths, hundredths, thousandths and so on.

Relationship between Fractions and Decimals:

Fractions and decimals are similar because they both are ways to express partial numbers. Additionally, fractions can be expressed as decimals by performing the division of the ratio.

(For example, 3/4 is equivalent to 3 divided by 4, or 0.75.) Decimals can also be expressed as fractions in terms of tenths, hundredths, thousandths, and so on.

(For example, 0.327 is equivalent to 327 thousandths, which is equivalent to 327/1,000.)