Step-by-step explanation:
We have,
[tex]\dfrac{2}{3},\dfrac{3}{4},1\dfrac{1}{2},\dfrac{3}{5},2\dfrac{2}{3}, \dfrac{7}{8}[/tex]
To find, the smallest fraction = ?
∴ [tex]\dfrac{2}{3},\dfrac{3}{4},1\dfrac{1}{2},\dfrac{3}{5},2\dfrac{2}{3}, \dfrac{7}{8}[/tex]
= [tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{3}{2},\dfrac{3}{5},\dfrac{8}{3}, \dfrac{7}{8}[/tex]
∴ The LCM of 3, 4, 2, 5, 3 and 8 = 120
= [tex]\dfrac{2\times 40}{3\times 40},\dfrac{3\times 30}{4\times 30},\dfrac{3\times 60}{2\times 60},\dfrac{3\times 24}{5\times 24},\dfrac{8\times 40}{3\times 40}, \dfrac{7\times 15}{8\times 15}[/tex]
[tex]= \dfrac{80}{120},\dfrac{90}{120},\dfrac{180}{120},\dfrac{72}{120},\dfrac{320}{120}, \dfrac{105}{120}[/tex]
The all denominator of fraction are same, the lowest fraction is numerator is smallest.
∴ The smallest fraction = [tex]\dfrac{72}{120}[/tex] i.e., [tex]\dfrac{3}{5}[/tex]
Thus, the lowest fraction is is equal to [tex]\dfrac{3}{5}[/tex].
Answer:
The answer is 3/5
Step-by-step explanation:
Let's convert to decimals these fractions and mixed numbers to make the comparison and find out the smallest fraction, this way:
2/3 = 0.67
3/4 = 0.75
1 1/2 = 1 + 1/2 = 1.5
3/5 = 0.6
2 2/3 = 2 + 2/3 = 2.67
7/8 = 0.875
Now we observe that the lowest value is 0.6, therefore, the smallest fraction is:
3/5
