2.98 As A Mixed Number

Decimals are numbers that prevarication between integers on a number line. In mathematics, they are just another method to express fractions. We may write more accurate values of quantifiable things such as length, weight, distance, money, and and then on using decimals. The numbers to the left of the decimal point are integers or whole numbers, while the numbers to the right are decimal fractions. If we proceed right from i identify, the following place will be (ane/10) times smaller, resulting in a (1/10)^th or 10th place value. Instance: 0.l, ten.20, 25.6, etc., are some examples of Decimals form. Fractions are defined as numerical value that represents a part of a whole. A fraction is a portion or section of any corporeality taken from the total, which might be any number, a specified value, or an item. A fraction is as well known equally a portion or section of a larger quantity. It is represented by the '/' sign, every bit in a/b.

For instance, 3/4 is a fraction in which the upper section, which is 3, represents the numerator, and the bottom office, which is 4, represents the denominator.

Mixed Fraction or Mixed Number

A mixed fraction is a form of the fraction that has both a whole number and a fractional part. A mixed fraction is defined as a fraction formed past combining a whole number and a fraction. A mixed fraction is ane that is expressed by its quotient and residuum. For instance: $3{\Large\frac{1}{2}}$ is a mixed fraction in which 3 is the quotient and 1 is the residual. A mixed fraction is, therefore, the product of a whole number and a proper fraction.

How to convert Decimal To Mixed Numbers?

Solution:

To convert a decimal to a mixed number, perform these steps:

Step ane: Determine how many decimal places are in the given number.

Step 2: Remove the decimal betoken from the number and divide it by a power of ten equal to the number of decimal places. So, if there are ii decimal places, we must dissever the number by x², which is 100. To put information technology some other way, the number of zeros should be equal to the number of decimal places.

Pace three: Simplify the fraction and, if necessary, convert it to a mixed number if it is an improper fraction.

Sample Questions

Question 1: Convert 7.5 into a mixed fraction?

Solution:

To convert a decimal to a mixed number, perform these steps:

Step one: Determine how many decimal places are in the given number.

Step 2: Remove the decimal bespeak from the number and divide information technology by a power of ten equal to the number of decimal places. And so, if there are 2 decimal places, we must divide the number by 10ⁱⁱ, which is 100. To put it another way, the number of zeros should be equal to the number of decimal places. Have away the decimal point, Rewrite in fraction grade,

7.five = 75/10

Step three: Simplify the fraction and, if necessary, catechumen it to a mixed number if it is an improper fraction.

Thus, 7.5 = 75/ten

= 15/2

Now convert it into mixed number,

= 15/2

By simplifying,

Here, we simplify 15/2 in a mixed fraction 7 ane/2, here 7 is caliber and 1 remainder.

Therefore, 7.5 = 15/2 = $7{\Large\frac{1}{2}}$ in a mixed fraction.

Question two: Convert 3.25 into a mixed fraction?

Solution:

We will apply steps to catechumen decimal to fraction.

Footstep 1: Determine the place value of the digits after the decimal in the number, if there are 1 digit after decimal then separate it past 10 and ii digits divide past 100 and and so on.

Step 2: Use it to figure out what the fraction's denominator is 100

Stride iii: Accept abroad the decimal indicate. Rewrite it in fraction form, so simplify information technology

Numerator/Denominator = 325/100

Step four: Express it in terms of the smallest Simplest Fraction: 325/100

Thus, iii.25 = 325/100

= 65/xx

= xiii/4 is an improper fraction.

Therefore , catechumen thirteen/4 in to mixed fraction,

13/4 = $4{\Large\frac{1}{3}}$

So, three.25 in mixed fraction volition be $4{\Large\frac{1}{3}}$

Question 3: Convert 42.56 into a mixed fraction?

Solution:

Nosotros will utilize steps to convert decimal to fraction,

Step ane: Determine the place value of the digits after the decimal in the number , if there are 1 digit later decimal so divide information technology by ten and two digits split by 100 and and then on

Footstep ii: Apply it to figure out what the fraction'south denominator is 100

Footstep iii: Accept away the decimal indicate. Rewrite it in fraction course, then simplify it

Numerator/Denominator = 4256/100

Step four: Express it in terms of the smallest Simplest Fraction: 4256/100

Thus, 42.56 = 4256/100

= 2128/l

= 1064/25

= 42{\Large\frac{14}{25}}

Question iv: Convert 0.25 into a Mixed fraction?

Solution:

We volition use steps to convert decimal to fraction .

Step one: Determine the identify value of the digits after the decimal in the number, if in that location are one digit after decimal then divide it byb 10 and 2 digits divide past 100 and so on.

Pace 2: Use information technology to effigy out what the fraction's denominator is 100.

Step three: Take abroad the decimal point. Rewrite information technology in fraction course, then simplify information technology.

Numerator/Denominator = 25/100

Step iv: Express it in terms of the smallest Simplest Fraction: 25/100

Thus, 0.25 = 25/100

= 1/4

Question 5: Convert 9.745 into a mixed fraction?

Solution:

We will apply steps to convert decimal to fraction.

Step 1: Determine the place value of the digits after the decimal in the number , if at that place are 1 digit afterward decimal then divide it by 10 and two digits divide by 100 and then on.

Stride 2: Employ information technology to figure out what the fraction'southward denominator is 1000.

Step three: Take abroad the decimal point. Rewrite it in fraction class, and then simplify information technology.

Numerator/Denominator = 9745/100

Step 4: Express it in terms of the smallest Simplest Fraction: 9745/1000

Thus, nine.745 = 9745/1000

= 1949/200

Now convert into mixed fraction

Therefore, 9.745 = 1949/200 = $9{\Large\frac{149}{200}}$

Question half-dozen: Convert 2.98 into a mixed fraction?

Solution:

We will employ steps to convert decimal to fraction.

Step one: Make up one's mind the identify value of the digits after the decimal in the number, if at that place are 1 digit after decimal then split up it past 10 and ii digits divide past 100 and and then on.

Footstep 2: Apply it to effigy out what the fraction's denominator is 100.

Pace 3: Have away the decimal signal. Rewrite it in fraction class, then simplify it.

Numerator/Denominator = 298/100

Step 4: Express it in terms of the smallest Simplest Fraction : 298/100

Thus, ii.98 = 298/100

= 149/25

Here its an improper fraction , now , convert it into mixed fraction :

= 149/25

So, 2.98 = 149/25 = $5{\Large\frac{24}{25}}$