Operations with Fractions and Decimals Add/Sub/Mult/Div
Multiplication rules
 Put all MIXED NUMBERS in IMPROPER FORM.
 Reduce all fractions before multiplying
 Multiply the numerator times the numerator and the denominator times the denominator.
To Multiply decimals numbers:
Multiply the numbers, then count the number of decimal places.
Watch the Video: Arithmetic Basics: Multiplying Decimals by Patrick JMT

Division rules
 CHANGE division sign to a multiplication sign.
 Write the RECIPROCAL of the divisor (2^{nd} number).
 Follow the multiplication rules.
To DIVIDE decimal numbers:
1. Move the decimal point in the divisor so that it becomes a whole number.
2. Move the decimal point in the dividend the same number of places to the right
3. Divide as if working with whole numbers. Write the decimal point in the answer directly above the decimal point in the dividend.
Watch the Video: Arithmetic Basics: Dividing Decimals by PatrickJMT


Watch the Video: Fractions Multiplying and Dividing by PatrickJMT

Addition and subtraction rules
 Must have a common denominator
 Add or subtract numerators only
 Denominator remains the same
 Reduce to lowest terms
 When adding or subtracting mixed numbers
a. Add or subtract whole numbers
b. With addition and subtraction extra step (carrying or borrowing) may be needed
c. Answers must always be in lowest terms
Examples:
Examples:
Add the following numbers: 2.046, 0.658 and 1.39.
Line up the decimals, fill in any needed zero, and add the columns.
Subtract the following numbers: 10.8  3.52
Line up the decimals, fill in any needed zeros and subtract the columns.
Watch the Video: Fractions 1: Reducing by Pat McKeague


Watch the Video: Fractions 2: Multiplication by Pat McKeague


Watch the Video: Adding & Subtracting Fractions by Khan Academy


Watch the Video: Subtracting Fractions by Khan Academy


Watch the Video: Adding Fractions with Unlike Denominators by Khan Academy


Watch the Video: Subtracting Decimals by Khan Academy


Watch the Video: Adding Decimals by Khan Academy
