Convert Fractions to Decimals Using Equivalent Fractions
Convert Fractions to Decimals Using Equivalent Fractions is a Grade 5 math skill from Eureka Math that teaches students to convert fractions to decimals by finding an equivalent fraction with a denominator that is a power of 10. For example, 3/4 = 75/100 = 0.75. This method reinforces equivalent fraction skills while providing a conceptual approach to fraction-decimal conversion.
Key Concepts
To convert a fraction $\frac{a}{b}$ to a decimal, find a number $n$ such that the denominator $b \times n$ is a power of 10 (e.g., 10, 100, 1000). Multiplying the original fraction by $\frac{n}{n}$ (a form of 1) creates an equivalent fraction that is easy to write as a decimal. $$\frac{a}{b} = \frac{a}{b} \times \frac{n}{n} = \frac{a \times n}{b \times n}$$.
Common Questions
How do you convert a fraction to a decimal using equivalent fractions?
Find a multiplier that makes the denominator equal to 10, 100, or 1,000. Multiply both numerator and denominator by that number, then write the resulting fraction as a decimal. For example, 3/4 x 25/25 = 75/100 = 0.75.
Which fractions can be converted to decimals using equivalent fractions?
Fractions whose denominators are factors of 10, 100, or 1,000 can be converted this way. Denominators of 2, 4, 5, 8, 10, 20, 25, 50, 100 all work cleanly.
What is the decimal equivalent of 7/20?
7/20: multiply by 5/5 to get 35/100 = 0.35. So 7/20 = 0.35.
What Eureka Math Grade 5 chapter covers converting fractions to decimals via equivalent fractions?
Eureka Math Grade 5 covers this conversion method in its decimal chapters, connecting equivalent fraction skills to decimal representation.
How does this method connect fraction and decimal understanding?
It shows that fractions and decimals are two ways to write the same number. The equivalent fraction with denominator 100 or 10 directly reveals the decimal form.