Question

Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

Answer 1

Answer:

2 $\frac{1}{20}$

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 $\frac{1}{4}$ = 7x4 + 1 = 29

Thus, improper fraction would be $\frac{29}{4}$

do same thing  for other one

thus , $\frac{26}{5}$

now,

$\frac{29}{4}$ - $\frac{26}{5}$

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

$\frac{145}{20} -\frac{104}{20}$ = $\frac{41}{20}$

convert back to mixed number

2 $\frac{1}{20}$

Answer 2

Answer:

Step-by-step explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

$7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}$

            $= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}$

b) Keep Change Flip method

$4\frac{1}{4}$ ÷ $2\frac{1}{5} = \frac{17}{4}$ ÷ $\frac{11}{5}$

            $=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}$