When you are adding, subtracting, multiplying, or especially dividing fractions and mixed numbers, it is much easier to use improper fraction forms. You do not have to worry about borrowing, or separate calculations for the wholes and fractions.
Examples:
(4 2/3 - 1 5/6)
Convert the mixed numbers to 14/3 - 11/6 ,
then into common denominators 28/6 - 11/6
and you can find the answer is 17/6 which is also the mixed number 2 5/6
(1 3/5 x 3 3/4)
Converting, these are 8/5 x 15/4, and
multiplying numerators and denominators gives you 120/20 = 6
which is a simple result that was not immediately obvious.
(3 3/4 divided by 1 5/8)
Converting, these become 15/4 divided by 13/8 and you divide
by multiplying by the reciprocal (invert the second fraction)
which gives you 15/4 x 8/13 which is 120/52 = 2 16/52 = 2 4/13
First you would want to change the mixed number to an improper fraction. Then you can subtract
You change them into improper or topheavy fractions.
I wouldconvert both to improper fraction,find a common multiple (CM),calculate equivalent fraction with CM as the denominator,add the numerators,change the improper fraction to a mixed fraction, if required,simplify the fractional part of the mixed fraction - if appropriate and required.
You don't.
change it to an improper fraction and then divide it
You do the numerator divided by the denominator, then simplify the fractions if you can. (this is how you change a improper fraction to a mixed number, you cannot change a proper fraction to a mixed number)
First you would want to change the mixed number to an improper fraction. Then you can subtract
You change it into an improper fraction, then simplify it, then if you want to, change it back to a mixed number.
If its not an improper fraction then you cant....
You change them into improper or topheavy fractions.
improper fraction
improper fraction
I don't think you can but, you can change an improper fraction to a decimal.
I wouldconvert both to improper fraction,find a common multiple (CM),calculate equivalent fraction with CM as the denominator,add the numerators,change the improper fraction to a mixed fraction, if required,simplify the fractional part of the mixed fraction - if appropriate and required.
improper fraction
You don't.
change it to an improper fraction and then divide it