Relating Fractions and Decimals
Grade 4 students learn to convert between fractions and decimals in Saxon Math Intermediate 4. To name a decimal, the digits after the decimal point form the numerator, and the place value of the last digit determines the denominator — 0.6 is 6/10, and 0.75 is 75/100. To simplify 0.6 as a fraction, divide both numerator and denominator by 2 to get 3/5. This Chapter 4 skill uses stopwatch times and visual grids to show that decimals and fractions are two representations of the same quantity.
Key Concepts
New Concept To name a decimal number, we name the numerator shown by the digits and then we name the denominator indicated by the number of decimal places.
What’s next Next, you'll practice converting between these forms and comparing their values using grids and real world examples like stopwatch times.
Common Questions
How do you convert a decimal to a fraction?
Use the digits after the decimal point as the numerator. Count the decimal places to determine the denominator: one place means tenths (10), two places means hundredths (100). For 0.75, the fraction is 75/100, which simplifies to 3/4.
How do you simplify a decimal fraction?
Convert the decimal to a fraction first, then divide numerator and denominator by their greatest common factor. For 0.6, start with 6/10, divide both by 2 to get 3/5.
What is the difference between 0.6 and 0.60?
As fractions, 0.6 is 6/10 and 0.60 is 60/100, but both simplify to 3/5. They represent the same value, though 0.60 shows hundredths precision.
Why must you always simplify a decimal fraction?
Teachers expect fractions in simplest form. Writing 0.6 as 6/10 is technically correct but incomplete — most problems require simplifying to 3/5. Always check whether numerator and denominator share a common factor.
What Saxon Math chapter covers relating fractions and decimals?
Relating fractions and decimals is covered in Saxon Math Intermediate 4, Chapter 4 (Lessons 31-40), using grids, stopwatch examples, and money to connect the two representations.