Answer:
Step-by-step explanation:
a) 5 = 5
10 = 2 * 5
40 = 2 * 2 * 2 *5
Least common denominator = 2*2*2*5=40
Now find equal fractions with denominator 40
[tex]\frac{2}{5}=\frac{2*8}{5*8}=\frac{16}{40}\\\\\frac{7}{10}=\frac{7*4}{10*4}=\frac{28}{40}\\\\\frac{9}{40}[/tex]
Fractions with equal denominators:
[tex]\frac{16}{40} ; \frac{28}{40} ; \frac{9}{40}[/tex]
b) 25 = 5* 5
40 = 2 * 2 * 2 * 5
120 = 2 * 2 * 2 * 3 * 5
Least common denominator = 8*25*3=600
[tex]\frac{17}{25}=\frac{17*24}{25*24}=\frac{408}{600}\\\\\frac{23}{40}=\frac{23*15}{40*15}=\frac{345}{600}\\\\\frac{67}{120}=\frac{67*5}{120*5}=\frac{335}{600}\\\\[/tex]
