5th Grade Math Help: Making Decimals Into Fractions or Whole Numbers

In 5th grade, you'll write decimals in an expanded form, which means that you need to be able to change them into fractions. Keep reading to find out how you can change many decimals into fractions or whole numbers.

Changing Decimals to Fractions

All whole numbers and many decimals are rational numbers, which means that they can be written as fractions. In order to do this, you need to understand place values, so let's do a quick review.

Place Values

In a decimal, the whole number part of the amount is shown on the left side of the decimal point. The first number to the left of the decimal point is in the ones place, the second number is in the tens place and the third number is in the hundreds place. The fractional part of the amount is shown on the right side of the decimal. The first number to the right of the decimal point is in the tenths place, the second number is in the hundredths place and the third number is in the thousandths place.

Decimals

Let's start with simple decimals, like 0.4. Since this decimal only has a digit in the tenths place, we can write it as a fraction by putting four over ten, like this: 4/10. Likewise, 0.1 = 1/10, 0.6 = 6/10 and 0.9 = 9/10. For decimals with a digit in the hundredths place, you'll need to drop the decimal point and put the numbers over 100. For instance, 0.42 = 42/100, 0.13 = 13/100 and 0.97 = 97/100. If there's a digit in the thousandths place, you drop the decimal point and put the numbers over 1,000. Practice by writing these decimals as fractions:

1. 0.34

2. 0.2

3. 0.988

Solutions

1. 0.34 = 34/100

2. 0.2 = 2/10

3. 0.988 = 988/1000

Whole Numbers

Some decimals, like 5.0 and 40.0, are already equal to whole numbers. To change a whole-number decimal to a fraction, put the number as the numerator, and then put one as the denominator. For example, 7.0 = 7/1, 19.0 = 19/1 and 84.0 = 84/1. Complete these practice problems by writing each decimal as a fraction:

1. 9.0

2. 37.0

3. 100.0

1. 9.0 = 9/1

2. 37.0 = 37/1

3. 100.0 = 100/1

Mixed Numbers

To write a decimal that's larger than one, like 5.25, as a fraction, you'll need to use mixed numbers. A mixed number is a number that includes a whole number and a fraction, like 3 1/4. The whole number in the decimal becomes the whole number part of the mixed number. For the fraction part of the mixed number, write the digits to the right of the decimal point as a fraction, and then simplify it if necessary. For 5.25, you would change it to 5 25/100, and then simplify to 5 1/4. Practice by changing these decimals to mixed numbers:

1. 1.5

2. 8.75

3. 20.8

Solutions

1. 1.5 = 1 5/10 = 1 1/2

2. 8.75 = 8 75/100 = 8 3/4

3. 20.8 = 20 8/10 = 20 4/5

Did you find this useful? If so, please let others know!

Other Articles You May Be Interested In

• 5 Free and Fun Math Games for Kids

Looking for a way to get your child engaged with math? There are many free, fun math games online that explore basic concepts such as addition, subtraction, multiplication and division, as well as more advanced games that offer practice with decimals and fractions. Read on to discover five of our favorite educational - and fun! -...

• Tips to Helping your Fifth Grader with Place Value and Decimals in Their Math Homework

Place values and decimal mathematics can be confusing, but the way to master decimals is to first learn how place values work. By learning place values and decimals, your child will be able to better understand the math concepts they will learn in middle and high school.

We Found 7 Tutors You Might Be Interested In

Huntington Learning

• What Huntington Learning offers:
• Online and in-center tutoring
• One on one tutoring
• Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online

K12

• What K12 offers:
• Online tutoring
• Has a strong and effective partnership with public and private schools
• AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

Kaplan Kids

• What Kaplan Kids offers:
• Online tutoring
• Customized learning plans
• Real-Time Progress Reports track your child's progress
Online Only

Kumon

• What Kumon offers:
• In-center tutoring
• Individualized programs for your child
• Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

Sylvan Learning

• What Sylvan Learning offers:
• Online and in-center tutoring
• Sylvan tutors are certified teachers who provide personalized instruction
• Regular assessment and progress reports
In-Home, In-Center and Online

Tutor Doctor

• What Tutor Doctor offers:
• In-Home tutoring
• One on one attention by the tutor
• Develops personlized programs by working with your child's existing homework
In-Home Only

TutorVista

• What TutorVista offers:
• Online tutoring
• Student works one-on-one with a professional tutor
• Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only