Fractions Greater Than 1 Examples

What Are Fractions?

Fractions correspond the parts of a whole or collection of objects. When the whole or drove is divided into equal parts, each part makes up a fraction. For example, if a pizza is divided into six equal slices, each piece is said to be 1/6 of the pizza. It means one in six equal parts. Information technology tin also be read equally '1-sixth', or 'one by 6'.

Each part of the pizza represents one-sixth of the pizza.

If we select two slices of the pizza, information technology volition be two/6 of the pizza. Similarly, if nosotros select iii slices of this pizza, information technology would be iii/vi of the pizza.

The number on the elevation of the line is called the numerator. Information technology tells us how many equal parts of the whole are taken. The number beneath the line is called the denominator. It shows the total number of equal parts the whole is divided into.

Majorly, there are iii types of fractions.

Proper fractions: When the numerator of a fraction is less than its denominator, it is a proper fraction. For example, ⅙, ⅜, ⅘ are proper fractions.

Improper fractions: When the numerator of a fraction is more or equal to its denominator, it is called an improper fraction. For example, 4/3, eight/v, half dozen/iv are improper fractions.

Mixed fractions: Mixed fractions consist of a whole number along with a proper fraction. For example, $3\frac{4}{7}$, $4\frac{2}{5}$ are mixed fractions.

What is a Fraction Greater than ane?

In a fraction, the denominator represents the total number of equal parts the whole is divided. We can say that the denominator represents the whole and the numerator represents the selected role of the whole. If the numerator of the fraction is greater than the denominator, and then information technology is a fraction greater than one whole. For instance,

If each rectangle is equally divided into three parts, 5 parts is more than than the one whole (or 3 parts). Therefore, 5/3 is greater than one.

When the numerator of a fraction is greater than its denominator, the value of the fraction is greater than one. These fractions are also called improper fractions.

How Are Fractions Greater than one Converted into Mixed Fractions?

Mixed numbers are considered to exist the simple course of improper fractions. That is why it is essential to learn the conversion between them.

For converting a fraction greater than 1 or an improper fraction to a mixed number, nosotros have to follow the steps given below:

Step 1: Separate the numerator past the denominator and obtain the quotient and remainder.
Step 2: Accommodate the values of the quotient, balance, and divisor in the following manner to obtain the mixed fraction.

$Quotient\frac{Residuum}{Divisor}$

The denominator of both improper fraction and its mixed fraction grade is always the same.

For instance, the mixed fraction form of $\frac{seven}{four}$ is 1 ¾.

Fractions Greater than 1 on a Number Line

To plot fractions greater than one on a number line, nosotros need to determine between which two whole numbers the fraction lies. We can do this by converting it into a mixed number.

For case, v/iii = 1 ⅔

Looking at the number, we know our fraction is bigger than 1. So, information technology will be between one and 2. Split up the interval between ane and 2 into three equal parts.

This volition be the mixed number ane ⅔ or the fraction 5/iii.

Convert Fractions Greater than 1 to Decimals

To convert fractions greater than 1 into decimals, carve up the numerator by the denominator. For example, $\frac{17}{ten}$ = one.7

To convert a mixed number to a decimal, divide the numerator by the denominator of the fraction part and add together the whole part.

For example, $ane\frac{3}{10}$ = 1 + 0.3 = one.3

Solved Examples

Example 1: Is $\frac{9}{7}$ greater than ane?

Solution: In a fractions greater than ane, the numerator is greater than the numerator. Therefore, $\frac{9}{7}$ is the fraction of greater than 1.

Example two: Convert $\frac{15}{7}$ into mixed fractions.

Solution: On dividing 15 by 7, we volition get ii every bit a quotient and i as a reminder.

We tin write the mixed fraction $Quotient \frac{Remainder}{Divisor}$ or $two\frac{1}{7}$.

Example 3: Is $\frac{14}{5}$ − $\frac{12}{5}$ greater than one?

Solution: $\frac{14}{5}$ − $\frac{12}{5}$ = $\frac{2}{five}$

Since the numerator is less than the denominator, its value is less than one.

Exercise Problems

Fraction Greater Than 1 - Definition with Examples

Nourish this quiz & Test your cognition.

$4\frac{2}{3}$

$6\frac{iii}{four}$

$7\frac{five}{6}$

$viii\frac{five}{6}$

Right answer is: $4\frac{2}{3}$
When we carve up fourteen by iii, we will get 4 as the quotient and 2 every bit the remainder.

Only statement 1 is true.

Only statement 2 is true.

Neither of the statements are true.

Both statements 1 and two are true.

Correct answer is: Only statement ii is true.
Fractions greater than one are called improper fractions.
Improper fractions can be converted into mixed fractions.

0 and 1

2 and 3

4 and five

ix and x

Correct answer is: 2 and 3
9/four is equal to 2 ¼. On the number line, this fraction lies between two and 3.

Often Asked Questions

What is the difference between fractions greater than 1 and fractions less than i?

If the numerator of the fraction is greater than its denominator, then the fraction is greater than 1. These are also chosen improper fractions. These fractions lie on the right side of 1 on the number line.

If the numerator of the fraction is less than its denominator, then the fraction is less than 1. These are likewise called proper fractions. These fractions prevarication between 0 and 1 on the number line.

What is the significance of comparison fractions with one whole?

As fractions are role of a whole, comparison fractions with a whole helps us determine the different types of fractions. Fractions less than 1 are proper fractions. Fractions greater than 1 can be written every bit improper fractions or mixed numbers.

Can a mixed fraction be less than 1?

No, a mixed fraction combines a whole number and a proper fraction. Hence, it is always greater than one.