Answer:
2 [tex]\frac{1}{20}[/tex]
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 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29
Thus, improper fraction would be [tex]\frac{29}{4}[/tex]
do same thing for other one
thus , [tex]\frac{26}{5}[/tex]
now,
[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]
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)
[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]
convert back to mixed number
2 [tex]\frac{1}{20}[/tex]
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
[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]
[tex]= \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}[/tex]
b) Keep Change Flip method
[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]
[tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]