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Answer :
To convert a fraction into its decimal form, you need to divide the numerator by the denominator. Let's go through each fraction one by one:
(a) [tex]\frac{3}{5}[/tex]
To convert to a decimal, divide 3 by 5:
[tex]3 \div 5 = 0.6[/tex]
(b) [tex]\frac{6}{25}[/tex]
To convert to a decimal, divide 6 by 25:
[tex]6 \div 25 = 0.24[/tex]
(d) [tex]\frac{3}{8}[/tex]
To convert to a decimal, divide 3 by 8:
[tex]3 \div 8 = 0.375[/tex]
(e) [tex]\frac{13}{125}[/tex]
To convert to a decimal, divide 13 by 125:
[tex]13 \div 125 = 0.104[/tex]
(g) [tex]\frac{13}{2}[/tex]
To convert to a decimal, divide 13 by 2:
[tex]13 \div 2 = 6.5[/tex]
(h) [tex]\frac{499}{500}[/tex]
To convert to a decimal, divide 499 by 500:
[tex]499 \div 500 = 0.998[/tex]
(j) [tex]\frac{5}{16}[/tex]
To convert to a decimal, divide 5 by 16:
[tex]5 \div 16 = 0.3125[/tex]
(k) [tex]4 \frac{2}{5}[/tex]
This is a mixed number, so first convert the fraction part, [tex]\frac{2}{5} = 0.4[/tex], and then add to 4:
[tex]4 + 0.4 = 4.4[/tex]
(m) [tex]4 \frac{7}{8}[/tex]
Convert the fraction [tex]\frac{7}{8} = 0.875[/tex], and add to 4:
[tex]4 + 0.875 = 4.875[/tex]
(n) [tex]\frac{31}{80}[/tex]
To convert to a decimal, divide 31 by 80:
[tex]31 \div 80 = 0.3875[/tex]
(p) [tex]\frac{456}{16}[/tex]
To convert to a decimal, divide 456 by 16:
[tex]456 \div 16 = 28.5[/tex]
(q) [tex]\frac{45}{12}[/tex]
To convert to a decimal, divide 45 by 12:
[tex]45 \div 12 = 3.75[/tex]
(s) [tex]13 \frac{1}{8}[/tex]
Convert the fraction [tex]\frac{1}{8} = 0.125[/tex], and add to 13:
[tex]13 + 0.125 = 13.125[/tex]
(t) [tex]112 \frac{3}{4}[/tex]
Convert the fraction [tex]\frac{3}{4} = 0.75[/tex], and add to 112:
[tex]112 + 0.75 = 112.75[/tex]
Each step involves simple division to convert the fraction to its decimal equivalent.
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