Remember Lesson 6 when we added Integers – follow the same rules to add rational numbers. Positive + Positive = Positive Positive (Bigger number) + Negative = Positive Positive + Negative (Bigger Number) = Negative Negative + Negative = Negative

Remember common denominator to add fractions

Remember common denominator to add fractions Positive + Positive = Positive

Negative + Positive ( BIGGER NUMBER)

COMMON DENOMINATOR TO ADD FRACTIONS

– 8 = 7 ( KEEP THE SIGN OF THE LARGER NUMBER)

Negative ( BIGGER NUMBER) + Positive

COMMON DENOMINATOR TO ADD FRACTIONS

– 2 = 2 ( KEEP THE SIGN OF THE LARGER NUMBER)

= 3 LOWEST TERMS

NEGATIVE + NEGATIVE = NEGATIVE

COMMON DENOMINATOR TO ADD FRACTIONS

= 19 ( KEEP THE SIGN OF THE LARGER NUMBER)

= 1 18 CHANGE IMPROPER TO MIXED

ORDERWe need to remember that ORDER matters when you subtract numbers.

BIGGERFIRST POSITIVEIf the BIGGER number is FIRST then the result = POSITIVE

COMMON DENOMINATOR TO SUBTRACT FRACTIONS

BIGGERFIRST POSITIVEIf the BIGGER number is FIRST then the result = POSITIVE = 5 12

BIGGERSECOND NEGATIVEIf the BIGGER number is SECOND then the result = NEGATIVE

COMMON DENOMINATOR TO SUBTRACT FRACTIONS

BIGGERSECOND NEGATIVEIf the BIGGER number is SECOND then the result = NEGATIVE = – 4 = 5 9 – 4 = 5 ( KEEP SIGN OF THE LARGER NUMBER)

– Negative – Positive + = Negative + Negative. add the opposite Which means you add the opposite = - +

ADD THE OPPOSITE

COMMON DENOMINATOR TO SUBTRACT FRACTIONS

= = 19 (KEEP THE SIGN OF THE LARGER NUMBER)

POSITIVE – NEGATIVE = POSITIVE + POSITIVE = POSITIVE add the opposite Which means you add the opposite

POSITIVE – NEGATIVE = POSITIVE

ADD THE OPPOSITE

COMMON DENOMINATOR TO SUBTRACT FRACTIONS

= = 19 (KEEP THE SIGN OF THE LARGER NUMBER) POSITIVE – NEGATIVE = POSITIVE

BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

ADD THE OPPOSITE BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

COMMON DENOMINATOR TO SUBTRACT FRACTIONS BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE

= = 11 (KEEP THE SIGN OF THE LARGER NUMBER) BIGGERFIRST NEGATIVEIf the BIGGER number is FIRST then the result = NEGATIVE