Fractions/Percents - How do I Change a Fraction to a Percent?

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     Changing a fraction to a percent is one of the easier fractions skills to learn – as long as you know your division!

     If a fraction is over 100, just eliminate the denominator and add the percent sign.  For example, the fraction 85/100 becomes 85%.

     If the fraction is over a power of 10, try to change the denominator to 100 by multiplying by 10/10 or 100/100.  For example, the fraction 7/10 becomes 70/100 or 70%.  The fraction 3/10 becomes 30/100 or 30%.

     If the number is a decimal, for example 0.45, it is actually written as 45/100 (0.45 is written as 45 hundredths…see ‘decimal place value’) or 45%.

     When we want to change a fraction to a percent and the fraction is not over 10 or 100, we have to convert the fraction to a decimal. 

We have to:

1. Divide the numerator by the denominator.

2. Move the decimal place two spaces to the right and adding a percent sign.

    For example, to change the fraction ⅜ to a decimal, we divide 3 by 8.  The answer is 0.375.  Now, we must move the decimal 2 spaces to the right.  Our answer becomes 37.5, or 37.5%. 

     Remember, if the fraction can be made into a power of 10 or 100, we can easily find the decimal number.  If the fraction is not over 10 or 100, we must divide the numerator by the denominator.

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See some of the lessons in our video library.

FRACTIONS - Lesson (A) Introduction to Fractions (Grades 1-2)

FRACTIONS - Lesson (B) Fractions of Sets (Grade 3)

FRACTIONS - Lesson (C) Comparing Fractions (Grade 3)

FRACTIONS - Lesson (D) Equivalent (Grades 4-5)

FRACTIONS - Lesson (E) Equivalent (Numerical) (Grades 4-5)

FRACTIONS - Lesson (F) Changing Fractions to Decimals (Grades 4-5)

FRACTIONS - Lesson (G) Changing Decimals into Fractions (Grades 4-6)

FRACTIONS - Lesson (H) Comparing (Grade 5)

FRACTIONS - Lesson (H2) Comparing Fractions Using the Bowtie Method (Grades 5-6)

FRACTIONS - Lesson (I) Adding (Grades 5-6)

FRACTIONS - Lesson (I2) Adding Fractions Using the Bowtie Method (Grades 5-6)

FRACTIONS - Lesson (J) Subtracting (Grades 5-6)

FRACTIONS - Lesson (K) Ordering from Least to Greatest (Grades 5-6)

FRACTIONS - Lesson (L) Mixed Numbers and Improper Fractions (Grades 5-6)

FRACTIONS - Lesson (M) Comparing Mixed Numbers and Improper Fractions (Gr 5-6)

FRACTIONS - Lesson (N) Changing Mixed Numbers and Improper Fractions (Grades 5-6)

FRACTIONS - Lesson (O) Comparing Fractions, Decimals, and Percents (Grades 5-6)

FRACTIONS - Lesson (P) Fractions, Ratios, Decimals, and Percents (Grades 7-8)

FRACTIONS - Lesson (Q) Adding and Subtracting Using Equivalent Fractions (Grades 7-8)

FRACTIONS - Lesson (R) Adding Mixed Numbers (Grades 7-8)

FRACTIONS - Lesson (S) Subtracting Mixed Numbers from Whole Numbers (Grades 7-8)

FRACTIONS - Lesson (T) Dividing Fractions Using Reciprocals (Grades 7-8)

FRACTIONS - Lesson (U) Multiplying Mixed Numbers (Grades 7-8)

FRACTIONS - Lesson (V) Dividing Fractions Using Equivalent Fractions and Common Denominators (7-8)

FRACTIONS - Lesson (W) Fractions and Order of Operations (Grades 7-8)

FRACTIONS - Lesson (Y) Fractions of Fractions (Grade 7)

FRACTIONS - Lesson (Z) Multiplying Fractions (Grades 7-8)

VARIABLES - Lesson (B) Equations with Fractions (Grade 9)

PROBABILITY - Lesson (E) Using Fractions to Describe Probabilities (Grade 4-5)

PROBABILITY - Lesson (J) Comparing Probabilities (Grades 7-8)

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 Learn'Em Good - Fractions and Decimals - by Stuart Ackerman MSc.Ed.,B.A.

Easy to Use Lessons and Worksheets to Help Improve Your Grade 1-8 Child's Fraction and Decimal Skills