Understanding How to Reduce 1.5 as a Fraction

Introduction – 

If there is any interesting subject that you can study and solve the problems, then it is none other than the maths. Maths is one such interesting subject, which sharpens the brain and also enhances the mental ability. Maths has several different areas, but today in this brief guide, we will be looking at one of the interesting subjects in maths and that is fractions. Here in this guide, we will be doing the conversion of fraction, we will be reducing 1.5 as a fraction and we will see the different methods and ways of doing the same. One of the things that, you should know about mathematics is that, fractions are the internal portion of maths. All the main operations or the maths are performed or done over the integers, which can be done over the fractions as well. 

Converting Into Fraction 1.5 – 

1.5 as a fraction is written as 3/2. Let’s look further as to how it is reduced into 3/2. 

Elucidation – 

Follow the steps given below to convert a decimal number into a fraction or 1.5 as a fraction. 

One – Note down the assumed number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. In this case of, 1.5 has one number after the decimal, so, you should place 10 in the denominator and remove the decimal point. This will make it 15/10

Two – Then, the fraction can be simplified. 15/10 = (15 ÷ 5)/ (10 ÷ 5) = 3/2. Therefore, 1.5 as a fraction is written as 3/2. 1.5 as a fraction equals 15/10 or 3/2.

Detailed Steps for Conversion of 1.5 as a Fraction – 

Write 1.5 as 1.5/1. Then, do the multiplication of both the numerator and denominator by 10 for each digit after the decimal point.

1.5/ 1 = 1.5 x 10/1 x 10 = 15/10. Therefore, to reduce the fraction find the Greatest Common Factor (GCF) for 15 and 10. Also, note down that a factor is just a number that divides into another number without any remainder.

• The factors of 15 are: 1 3 5 15 
• The factors of 10 are: 1 2 5 10 

The Greatest Common Factor (GCF) for both 15 and 10 is: 5

Now to decrease or drag down the fraction you can divide both the numerator and denominator by the GCF value.

15/10 = 15 ÷ 5/10 ÷ 5 = 3/2

Also, it is important for you to note that the whole number integral part is one or 1. The decimal part is: .5 = 5/10

Full simple fraction breakdown: 150/100

= 15/10

= 3/2 

Next, the standard of exactness is the number of digits to round to. Choose an inferior exactness point below to drag down the decimal 1.5 down further in fraction form. The default exactness point is 5. If the last trailing digit is 5 you can use the round half up and round half down choices to round that digit up or down when you change the exactness point.

For instance, 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.

Since, the exactness or precision point is 5, we will round half up and round half down the fraction and reduce it – the round half up is as follows – 

150000/100000

= 15000/10000

= 1500/1000

= 150/100

= 15/10

= 3/2

Numerator & Denominator for 1.5 as Fraction

1.5 = 1 5/10

numerator/denominator = 5/10

Is 1 5/10 a Varied, Whole/Complete Number or Proper or Appropriate fraction?

A varied number is made up of a complete number (complete numbers have no fractional or decimal portion) and an appropriate fraction part (a fraction where the numerator (the upper number) is less than the denominator (the lower number). In this scenario, the complete number value is 1 and the proper fraction value is 5/10.

Other Methods of Reducing the Fraction – 

The process for improved understanding of figures and fractions is as following – 

One – 1.5=1+0.5 

Two – 1+0.5=1+5/10 ∵one tenth place in decimal system 

Three – 1.5=1+1/2 

1.5=2+1/2 

Four – 1.5=3/2. 

Converting 1.5 to a fraction, Step-by-Step Process – 

One – 

The first step to converting 1.5 to a fraction is to re-write 1.5 in the form p/q where p and q are both positive integers. To start with, 1.5 can be written as simply 1.5/1 to technically be written as a fraction.

Two – 

Next, you will have to calculate the figure of fractional digits after the decimal point in 1.5, which in this case is 1. For though several digits after the decimal point there are, you will do the multiplication of the numerator and denominator of 1.5/1 each by 10 to the power of that many digits. For example, for 0.45, there are 2 fractional digits, so you would multiply by 100; or for 0.324, since there are 3 fractional digits, you would multiply by 1000. So, in this case, you will multiply the numerator and denominator of 1.5/1 each by 10:

frac {1.5 × 10} {1 × 10} = \frac {15}{10} 

1.5×10/1×10 = 15/10

Three – 

Now the concluding step is to shorten the fraction (if possible) by finding similar factors and withdrawing them out, which leads to the following answer – \frac {15}/ {10} = \frac {3}{2} 

SimplestSteps to Convert Decimal into Fraction – 

Write 1.5 as 1.5/ 1

Multiply both numerator and denominator by 10 for every number after the decimal point

1.5 × 10/ 1 × 10 = 15/10

Reducing the fraction gives 3/2. 

Alternate Methods of Reducing the Fraction – 

1.5=1/12 
or =3/2 

Justification – 

1.5=1.5/1.0=15/10=3/2=1+1/2. 

1.5 as a fraction and percent growth delivers the depth of what is the equal fraction and percent for decimal 1.5, and the answer with steps to understand how it is being calculated.

1.5 as a Fraction

1.5 = (?)

= (1.5/1) x (10/10)

= 15/10

= (3 x 5)/(2 x 5)

= 3/2

1.5 = 3/2

1.5 as a fraction equals to 3/2 in this 1.5 is a decimal, and 3/2 is a fraction in simplest form.

Percentage Method – 

1.5 in Percent

1.5 = (1.5 x 100)/100

= 150/100

= 150%

1.5 as a percent is 150% in which, 1.5 is a decimal, and 150% is a percentage.

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To Convert 1.5 To Fraction, Follow These Steps: – 

First note down the decimal number divided by 1 like this:1.5/ 1

As you have 1 digit after the decimal point in the numerator, you require to do the multiplication of both the numerator and denominator by 101 = 10, so that there is no decimal point in the numerator. 

1.5 × 10/1 × 15= 15/10

Since the greatest common factor of 15 and 10 is 5, we can simplify the fraction and show the same amount

15 ÷ 5/10 ÷ 5 = 3/2. As the numerator is bigger than the denominator, you have an improper fraction, so you can also show 1.5 as a mixed number, thus 3/2 is equal 1 ½. Therefore, 1.5 as a fraction is 3/2 and It is written as 1 1/2 in mixed number form.