What is 1.90 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.90 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 1.90 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.

1.90 as a fraction equals 190/100 or 19/10

Now let's break down the steps for converting 1.90 into a fraction.

Step 1:

First, we express 1.90 as a fraction by placing it over 1:

1.90/1

Step 2:

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

1.90 x 100/1 x 100

190/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 190 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 190 are: 1 2 5 10 19 38 95 190
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 190 and 100 is: 10

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 10 in this case.

190 ÷ 10/100 ÷ 10

19/10

Great Work! We've just determined that 1.90 as a fraction equals 190/100 or 19/10 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 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 a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, ³/₄ = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = ⁷⁵/₁₀₀ = ³/₄ Reference our decimal to fraction converter page for a detailed breakdown..

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

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 a structured learning approach with video lessons try the Khan Academy.

For fun game based learning try Prodigy Math.

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