Answer:
[tex]-2\frac{7}{20}[/tex]
Step-by-step explanation:
Given the following question:
[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
To find the answer we first need to convert the mixed numbers into improper fractions, find the common denominator, subtract the denominators, and of course convert the improper fraction back into a mixed number.
[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
[tex]3\frac{2}{5}=5\times3=15+2=17=\frac{17}{5}[/tex]
[tex]5\frac{3}{4} =4\times5=20+3=23=\frac{23}{4}[/tex]
[tex]\frac{17}{5} -\frac{23}{4}[/tex]
Find the common denominator:
[tex]CD=20[/tex]
[tex]\frac{17}{5} \times4=\frac{68}{20}[/tex]
[tex]\frac{23}{4} \times5=\frac{115}{20}[/tex]
[tex]\frac{68}{20} -\frac{115}{20}[/tex]
[tex]68-115=-47=-\frac{47}{20}[/tex]
[tex]=-\frac{47}{20}[/tex]
Convert the improper fraction into a mixed number:
[tex]-\frac{48}{20}[/tex]
[tex]-\frac{47}{20} =47\div20=-2\frac{7}{20}[/tex]
[tex]=-2\frac{7}{20}[/tex]
Your answer is "-2 7/20."
Hope this helps.
