What is 1.53738 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.53738 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 1.53738 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.

1.53738 as a fraction equals 153738/100000 or 76869/50000

Now let's break down the steps for converting 1.53738 into a fraction.

Step 1:

First, we express 1.53738 as a fraction by placing it over 1:
1.53738/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.53738 x 100000/1 x 100000
  =  
153738/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 153738 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 153738 are: 1 2 3 6 9 13 18 26 27 39 54 73 78 81 117 146 162 219 234 351 438 657 702 949 1053 1314 1898 1971 2106 2847 3942 5694 5913 8541 11826 17082 25623 51246 76869 153738
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 153738 and 100000 is: 2

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 2 in this case.
153738 ÷ 2/100000 ÷ 2
  =  
76869/50000


Great Work! We've just determined that 1.53738 as a fraction equals 153738/100000 or 76869/50000 in its simplest form.

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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 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

What is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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 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.

Use Study.com for an entertaining video lesson approach.

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

For personalized 1-1 lessons check out Preply.com.



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