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Example of Decimal to Fraction Conversion:
Example:
Convert 18.82 to a mixed number.
Solution:
Step 1: 18.82 is 18 and 82 hundredths.
18.82 = 18(82/100)
Step 2: Reduce 82/100 to its simplest form =41/50
82/100= 2.41/2.50 = 2.41/2.2.25 = 2.41/ 2.2.5.5 = 41/2.5.5 = 41/50
The answer is 18(41/50)
Convert 1.73 to a fraction.
Step 1: 1.73 = 1(73/100)
Step 2: 73 = 73 x 1
100 = 2 x 2 x 5 x 5
There are no common factors between 73 and 100, so it cannot be reduced.
1(73/100)
Convert 0.333 to a fraction.
Step 1: 0.333 = 333/1000
Step 2: There are no ordinary factors between 333 and 1000, so it is already in its simplest form.
Find the sum of a+b, a-b, a-3b, ...... to 22 terms. Ans: a + b, a - b, a - 3b, up to 22 terms d= a - b - a - b = 2b S22 =22/2 [2(a+b)+21(-2b)] 11[2a + 2b - 42b] =
write a fortan programme to generate prime number between 1 to 100
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
Simplify the Boolean function: F (w,x,y,z) = ∑ (0, 1, 2, 3, 4, 6, 8, 9, 12, 13, 14) (8) Ans: f(w, x, y, z) = ∑(0, 1, 2, 3, 4, 6, 8, 9, 12, 13, 14) The above
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