What is 1.45 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.45 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 1.45 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.

1.45 as a fraction equals 145/100 or 29/20

Now let's break down the steps for converting 1.45 into a fraction.

Step 1:

First, we express 1.45 as a fraction by placing it over 1:

1.45/1

Step 2:

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

1.45 x 100/1 x 100

145/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 145 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 145 are: 1 5 29 145
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 145 and 100 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.

145 ÷ 5/100 ÷ 5

29/20

Great Work! We've just determined that 1.45 as a fraction equals 145/100 or 29/20 in its simplest form.

Convert any decimal to a fraction

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Examples of converting decimals to fractions

Practice makes perfect! Build your skills in converting decimals to fractions by following these step by step examples:

Frequently asked math questions, including decimals and fractions

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

What are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example ³/₂

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as ³/₄, ^-5/₂, or 0.75.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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

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