6/5 + 1/4 = N

As a student you know that mathematics is one long word. The word itself is .... maybe because of its length.

MATH short for MATHEMATICS

M - MENTAL

A - ACCURATE

T - TALENTED

H - HELPFUL

As a student you know some attributes to or about MATH.

A CLOSER LOOK AT THE QUESTION

6/5 + 1/4 = N

You are adding what looks like 2 fractions where 6 is the numerator and 5 is the denominator for the first fraction and given for one fraction and the other you have numerator of 1 and a denominator of 4. How do you add fractions? Well? MATHEMATICS requires that you follow a set of rules or operations. I assume your teacher has taught you adding, subtracting, multiplication, or division.

LET US LOOK AT RULES FOR YOUR QUESTION 6/5 + 1/4 = N IN WHICH IS ADDING 2 FRACTIONS.

HOW DO YOU ADD FRACTIONS?

FIRST YOU MUST CHECK FOR COMMON DENOMINATORS AS THEY ARE PARTS OF THE FRACTIONS AND THIS ALLOWS US TO ADD NUMERATORS AS WE ADD TO PARTS OF WHOLES IN FRACTIONS MAKING THE ANSWER CLEARER.

IF THE DENOMINATORS ARE NOT EQUAL WE HAVE SEVERAL OPTIONS

OPTION 1

LETS LINE UP THE QUESTION

6/5

+1/4

-------------

AS YOU CAN SEE WE CANNOT JUST ADD NUMERATORS BECAUSE DENOMINATORS WHICH ARE THE EQUAL PARTS THE FRACTIONS ARE DIVIDED.

IT ALSO SEEMS LIKE WE HAVE 2 TYPES OF FRACTIONS.

1 TYPE OF FRACTION? 6/5 IMPROPER

2 TYPE OF FRACTION? 1/4 PROPER

LET US FIND A COMMON DENOMINATOR

HOW? WE MULTIPLY BOTH FRACTIONS DENOMINATORS BY EACH FRACTIONS DENOMINATORS.

1 DENOMINATOR IS 5 AND ANOTHER DENOMINATOR IS 4

HOW DID WE LOCATE THEM?

FRACTION LOOKS LIKE

1/4

NUMERATOR

---------------------

DENOMINATOR

5 MULTIPLIED 4 EQUALS 20

6/5 numerator/20

+ 1/4 numerator/20

-----------

We do not know what the new numerator is and at this point we only know the DENOMINATOR IN COMMON FOR BOTH FRACTIONS IS 20.

WE DIVIDE THE FIRST NEW DENOMINATOR 20 BY OLD DENOMINATOR WHICH IS 5 SO WE CAN FAIRLY SAY OUR FRACTION PROPORTIONAL IS NOW 4 TIMES FROM DENOMINATOR 5 TO DENOMINATOR 20 THUS NOW WE MUST ALSO BE FAIR EVEN DOUGH ITS A FRACTION AND INCREASE PORTION SIZE OF NUMERATOR WHICH WAS HOW MANY PARTS IT HAD 6 BY 4 PARTS INCREASE TO 24.

THE NEW FRACTION WAS INCREASED BY 4 PARTS ON BOTH NUMERATOR AND DENONIMATOR

TO

24/20 WHICH DOES SIMPLIFY TO 6/5

1/4 WHEN INCREASED BY 5 PARTS THIS HAPPENED WHEN WE MULTIPLIED BY EACH DENOMINATORS

TO

5 / 20

NOW THAT WE HAVE COMMON DENOMINATORS WE CAN ADD FRACTIONS

24/20 + 5/20 = 29/20

THE ABOVE FRACTION HAS BEEN IDENTIFIED AS AN IMPROPER FRACTION AND IS YOUR ANSWER

IF YOU MUST SIMPLIFY THEN YOU SEARCH OR ASK

HOW TO SIMPLIFY AN IMPROPER FRACTION AND WHY IS IT IMPROPER?

LIKE WE SAID TALKED ABOUT

RULES

INSTRUCTIONS

OPERATIONS

I HOPE I HELPED YOU TODAY

MR SIR

Jim C.

10/12/20