How to Convert Decimal Numbers into Fractions

TLDRLearn how to convert decimal numbers into fractions by multiplying the decimal by the respective power of ten and simplifying the fraction. Examples given.

Key insights

🔢To convert a decimal number into a fraction, multiply the decimal by the respective power of ten and simplify the fraction.

🔢When multiplying a decimal by a power of ten, the same multiplication must be done to both the numerator and denominator.

🔢After multiplying, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.

🔢If the decimal is repeating, express it as an improper fraction and simplify further if possible.

🔢To convert a mixed number back to an improper fraction, multiply the whole number by the denominator and add the numerator.

Q&A

How do you convert a decimal number into a fraction?

—Multiply the decimal by the respective power of ten and simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.

How do you handle repeating decimals?

—Express the repeating decimal as an improper fraction and simplify further if possible.

What is the process for converting a mixed number to an improper fraction?

—Multiply the whole number by the denominator and add the numerator.

Should the decimal always be multiplied by a power of ten to convert it into a fraction?

—Yes, multiplying by a power of ten moves the decimal point and allows for the conversion into a fraction.

Can fractions be simplified after converting them from decimal numbers?

—Yes, fractions can be simplified by dividing both the numerator and denominator by their greatest common divisor.

Timestamped Summary

00:00In this video, we will learn how to convert decimal numbers into fractions.

00:48To convert a decimal to a fraction, multiply the decimal by a power of ten.

01:45After multiplying, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor.

04:02If the decimal is repeating, express it as an improper fraction and simplify further if possible.

06:35To convert a mixed number back to an improper fraction, multiply the whole number by the denominator and add the numerator.

Browse more