Convert decimals to fractions and mixed numbers

Learning Objectives Identify the place value of digits in tenths and hundredths. Convert a decimal with one decimal place into a fraction with a denominator of 10. Convert a decimal with two decimal places into a fraction with a denominator of 100. Simplify fractions by dividing the numerator and denominator by a common factor. Convert a decimal greater than 1 into a mixed number. Explain that decimals and fractions are different ways to represent parts of a whole. Have you ever seen a price like $2.50 and wondered how to write that 50 cents as a fraction of a dollar? 🪙 Let's find out! In this lesson, we will discover how decimals and fractions are like secret twins that represent the same value. Learning to change a decimal into a fraction will help us understand num...

TermDefinitionExample DecimalA number that uses a decimal point to show a value that is a part of a whole number. It's another way to write a fraction.0.5 is a decimal that means one-half. FractionA number that shows a part of a whole. It has a top number (numerator) and a bottom number (denominator).1/2 is a fraction that means one-half. Mixed NumberA number made up of a whole number and a fraction.3 1/2 is a mixed number. Tenths PlaceThe first place value to the right of the decimal point. It represents parts out of 10.In the decimal 0.4, the 4 is in the tenths place. Hundredths PlaceThe second place value to the right of the decimal point. It represents parts out of 100.In the decimal 0.65, the 5 is in the hundredths place. SimplifyTo reduce a fraction to its smallest, or simplest...

Tenths Conversion Rule 0.a = \frac{a}{10} If a decimal has one digit after the decimal point (in the tenths place), write that digit as the numerator over a denominator of 10. Hundredths Conversion Rule 0.ab = \frac{ab}{100} If a decimal has two digits after the decimal point (in the hundredths place), write those digits as the numerator over a denominator of 100. Mixed Number Conversion Rule W.ab = W \frac{ab}{100} For a decimal greater than 1, the number to the left of the decimal point is the whole number. Convert the part to the right of the decimal point into a fraction.