What is 1.5 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.5 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 1.5 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

1.5 as a fraction equals 15/10 or 3/2

Now let's break down the steps for converting 1.5 into a fraction.

Step 1:

First, we express 1.5 as a fraction by placing it over 1:

1.5/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

1.5 x 10/1 x 10

15/10

Step 3:

Next, we find the Greatest Common Factor (GCF) for 15 and 10. Keep in mind 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 GCF of 15 and 10 is: 5

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 5 in this case.

15 ÷ 5/10 ÷ 5

3/2

Great Work! We've just determined that 1.5 as a fraction equals 15/10 or 3/2 in its simplest form.

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Examples of converting decimals to fractions

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

Desmos.com has a focus on equation, functions and visual graphs.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.