# Operations with Fractions by dfhdhdhdhjr

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```									Operations with Fractions

Mrs. McBryar

Steps:
2. Keep the denominator the same.
3. Simplify or make any improper
fractions mixed numbers.
Example: 10 + 12 = (10 +12) = 22 = 1 5
17   17      17     17     17
Subtracting Fractions with Like
Denominators

Steps:
1. Subtract the numerator.
2. Keep the denominator the same.
3. Simplify or make any improper
fractions mixed numbers.
Example: 15 - 4 = (15 - 4)= 11 = 1
22   22    22    22 2
Denominators

Steps: (Line them up vertically)
2. Keep the denominators the same.
4. Simplify or make any improper fractions
mixed numbers.
Denominators

Example:   4 5
7
+8     3
7
12 8 = 13 1
7     7
Subtracting Mixed Numbers with Like
Denominators
Steps: (Line them up vertically)
1. Subtract the numerators
*** If you cannot subtract, you must borrow from
the whole number. Borrow one whole then
add the denominator to the numerator to get
2. Keep the denominator the same.
3. Subtract the whole numbers.
4. Simplify or make any improper fractions
mixed numbers.
Subtracting Mixed Numbers
with Like Denominators
Example:    9   3 = 8 11
8      8
-5   5= 5 5
8      8
3 6= 3 3
8    4
Denominators
Steps:
1. Find the LCD (least common denominator)
*Just find the LCM of the denominators.
2. Find equivalent fractions with the LCD.
4. Keep the denominators the same.
5. Simplify or make any improper fractions
mixed numbers.
Denominators
Steps: (Line them up vertically)
1. Find the LCD (least common denominator).
2. Find equivalent fractions with the LCD.
4. Keep the denominators the same.
6. Simplify or make any improper fractions
mixed numbers.
Subtracting Fractions with Unlike
Denominators

Steps:
1. Find the LCD (least common
denominator).
2. Find equivalent fractions with the LCD.
3. Subtract the numerators.
4. Keep the denominator the same.
5. Simplify.
Subtracting Mixed Numbers with Unlike
Denominators
Steps:
1. Find the LCD (least common denominator).
2. Find equivalent fractions with the LCD.
3. Subtract the numerators (borrow from the
whole number if needed)
4. Keep the denominator the same.
5. Subtract the whole numbers.
6. Simplify or make any improper fractions
mixed numbers.
Multiplying with Fractions

Steps:
1. Multiply the numerators.
2. Multiply the denominators.
3. Simplify or change any improper
fractions to mixed numbers.
Multiplying with Mixed
Numbers
Steps:
1. Change mixed numbers to improper
fractions.
2. Multiply the numerators.
3. Multiply the denominators.
4. Simplify or change any improper
fractions to mixed numbers.
Dividing with Fractions
Steps: (KCF)
1. Keep the first fraction the same.
2. Change the division sign to a multiplication
sign.
3. Flip the numerator and denominator of the
last fraction. (Reciprocal)
***The numerator becomes the denominator
and the denominator is now the numerator)
4. Multiply the numerators.
5. Multiply the denominators.
6. Simplify or change any improper fractions to
mixed numbers.
Dividing Mixed Numbers
Steps: (KCF)
1. Change any mixed numbers to improper
fractions.
2. Keep the first fraction.
3. Change the division sign to a multiplication
sign.
4. Flip the second fraction.
5. Multiply the numerators and denominators.
6. Simplify or change any mixed numbers to
improper fractions.

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