Unit 15 Decimal and Common Fraction Equivalents Basic

Unit 15 Decimal and Common Fraction Equivalents

Basic Principles of Decimal and Common Fraction Equivalents • To work with both common fractions and decimal fractions, it is necessary to convert both numbers to either common fractions or decimal fractions. – To convert a common fraction to a decimal fraction divide the numerator by the denominator. – If the number does not divide evenly, it is usually rounded off to two or three places.

Basic Principles of Decimal and Common Fraction Equivalents – To convert a decimal fraction to a common fraction, the number to the left of the decimal point is a whole number. – The number to the right of the decimal point becomes the numerator of the common fraction. – The denominator is determined by the place value of the last number after the decimal point. (It will be 10 or a multiple of 10. ) – The fraction is then reduced.

Decimal and Common Fraction Equivalents • Example: Convert 2. 625 to a common fraction. – The number to the left of the decimal point is a whole number. – The number to the right of the decimal is the numerator. – Reduce:

Practical Problem • A newborn infant weighs 8 3/4 pounds (lb). If 1 kilogram (kg) equals 2. 2 lb, how many kg does the infant weigh? • Express the answer as a decimal fraction rounded off to three places or thousandths.

Practical Problem 8 ¾ lbs = 8. 75 lbs 8. 75 ÷ 2. 2 = • The infant weighs 3. 977 kg.