How To Solve .625 As A Fraction? - Magzinenow

How to solve .625 as a fraction?


.625 as a fraction

To solve .625 as a fraction, we need to use the most accurate and simple method. Do you know we use the concept of fraction in our daily life as well? 

Yes. We think that these mathematics chapters are just an excuse by our teacher to tease us and force us to solve problems. But maths is also a part of our life. This world wouldn’t exist without Maths and its concepts. 

Maths is a universal language. It demands your logical intelligence and reasoning. Everyone counts and estimates things existing in this environment. 

Let’s understand the concepts of decimal and fraction to solve the equation .625 as a fraction.

Fraction

The word “Fraction” is derived from a Latin word “Fractus” which means “Broken” or “Parted”. So basically fraction is a numerical value that is represented as a part of a whole. When you take a piece or portion from any object, that portion represents a value which is less than the whole of the object. Then a comparison takes place between part and the whole. You always take a portion while eating food as you can’t put the whole pizza at once in your mouth, so you divide the portions in equal parts with a pizza cutter. Now you cut the portion with horizontal, then vertical and slant lines.

This is how you use the concept of fraction everyday. 

Fraction is represented in three ways : Fraction, Percentage and Decimal. 

The symbol ‘/’is used to represent the Numerator (Top and Part) and Denominator (Bottom and whole) in fraction. 

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Half of a whole portion is represented as ½, here 1 is the half part and numerator while 2 is the whole after dividing it in two halves. 

Both half portions are represented as ½ 

  • Numerator : Numerator represents part of the fraction which is shown on the top of‘/’.The value represented as numerator needs to be divided by the Denominator. 
  • Denominator : Denominator represents the whole of the fraction which is shown in the bottom of‘/’. The value represented as the denominator divides the numerator. 

For instance, You bought a box of laddoos, there are 15 laddoos of equal sizes, now you need those laddoos in equal parts in a way that all three members get the equal share. Now you will use fraction here. 

Amount of part (Numerator) / Total number of whole (Denominator)

When you divide 15 by 3, each friend will get 5 laddoos, which will be 

5 is the numerator and 15 is the denominator represented as5/15, for three of them as : 

Friend 1 : 5/15 

Friend 2 : 5/15

Friend 3 : 5/15 

This value represents equal share among these friends. 

Let’s take another example :  You divide a chapati in four equal pieces, now you will represent the fractional value of chapati as : ¼ 

Here 1 is the numerator as it represents the part and 4 is the denominator as it represents the whole. All four portions will be represented as : 

1st portion : ¼

2nd portion : ¼

3rd portion : ¼

4th portion : ¼ 

After understanding the concept of fraction, now we will understand the concept of decimal. 

Decimal 

Derived from the Latin word “Decimus” means “Tenth” or “10th part” and the root word of decimal is “Decem”. Tenth part is the base of the decimal system, here the numerical value starts with number 10 also known as Base-10 system. Decimal is used to represent the numerator and denominator but without using the symbol‘/’, instead we use a point‘.’

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Decimal point separates the ones and tenths. The decimal point is used to differentiate between numerator (top) and denominator (bottom). If you divide a whole portion in half, the decimal value will be shown as 0.5, when you divide 1 by 2, there will be a problem because the 1 is less than 2, then how 2 will divide it. 

Here you put ‘.’ and it gives 0 on the place value of 10th. 

Now 1 becomes 10 while you put 0. in ones place.

10th part is divided by 2 and the answeris 0.5, 

5 on the right side of . will be represented in tenth place. 

Decimal (0.5) = Fraction (½)

Let’s try more examples to get familiar with the decimal concept : 

34.5 is a decimal numerical value represented as Thirty four and Seven tenths. Thirty four = 3 tens and 4 ones and 5 as a number after the decimal point represents Tenth place : 34.5 = 3*10 + 4*1 and 0.5 

Difference between Tens & Tenths

To solve an equation like .625 as a fraction, you should know the difference between values that are represented before and after the decimal point. 

For instance, 89.65 is represented as 8 on tens place = 80 added by 9 on ones place = 9 and after decimal point, 6 on tenth place and 5 on hundredth place. 

Let’s compare both place values.

Tens 

  • Used in Fraction
  • Whole 
  • A number
  • Before decimal 
  • Starts with ones
  • Tens > Tenths

Tenths 

  • Used in Decimal 
  • Part 
  • A place value
  • After decimal 
  • Starts with tenths
  • Tenths < Tens

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Conversion of Decimal to Fraction

.625 as a Fraction is ⅝ 

To solve this equation you need to use any one of the given methods as mentioned below : 

  1. Prime factorization method
  2. Division Method 
  • 0.625 is a decimal equation and represented as 625/1000 as a fractional equation. Amount of numbers after the decimal point are equal to the place values of the whole number. 
  • After decimal, there are 3 values and when we remove the decimal point.
  • Now we write .625 as 0.625/1
  • Removing the decimal point and dividing the number by 1000.
  • 0.625/1 * 1000/1000 = 625/1000
  • 625/1000 is reduced to ⅝ 
  • Find the multiples of both 625 and 1000.
  • 125 is the number which can be multiplied and divided by 625 and 1000.
  • 625 ÷ 125 and 1000 ÷ 125 = ⅝ 
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.625 as a fraction will be represented as 0.625 = ⅝ .


Alexie BoB