Answer:
4/5
Step-by-step explanation:
The prime factorization of 24 is 2*2*2*3.
There prime factorization of 30 is 2*3*5.
They have 2*3 in common.
2*3=6.
So we can divide numerator (top) and denominator (bottom) by 6 and this will reduce the fraction into simplest form.
[tex]\frac{24}{30}=\frac{24 \div 6}{30 \div 6}=\frac{4}{5}[/tex]
The simplified version of the fraction 24/30 is 4/5
Fraction is a mathematical number by which we can describe a part of a whole item.
A fraction has two parts, the top part is called numerator & the bottom part is called denominator.
Example : [tex]\frac{5}{7}[/tex] , where 5 is the numerator & 7 is the denominator.
The given fraction is 24/30
The prime factorisation of 24 gives 2×2×2×3 , i.e. 2×2×(2×3)
The prime factorisation of 30 gives 2×3×5 , i.e. 5×(2×3)
Common in both 24 & 30 is 2×3, i.e. 6
So, we have to divide numerator & denominator of the given fraction by 6 to get the simplified form.
Hence, 24/30 = (24/6)/(30/6) = 4/5
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