Find decimal expansion of 17/8, 3/15, 2/7, 50/3
Answers
--> 17/8 = 16/8 + 1/8 = 2 + 0.125 = 2.125
--> 3/15 = 1/5 = 0.2
--> 2/7 = 2 * 1/7 = 2 [ 0.142857142857... ] = 2 [ 0.142857... ] ≈ 0.284
--> 50/3 = 48/3 + 2/3 = 16 + 0.6666... = 16.66666666...
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Concept:
Any number that can be written as p/q, where p and q are both integers and q ≠0, is referred to be a rational number. Decimal results from additional simplification of these numerals.
In general, rational numbers are real numbers that have a repeating or ending nature.
Consider the number 33.33333, for instance. Since it can be written as 100/3, it is a rational number. As can be seen, the decimal part.333.. is a repeating part that doesn't terminate, making it a decimal number that is repeated repeatedly.
Given:
17/8, 3/15, 2/7, 50/3
Find:
Find decimal expansion of 17/8, 3/15, 2/7, 50/3
Solution:
⇒ 17/8 = 16/8 + 1/8
= 2 + 0.125 = 2.125
⇒ 3/15 = 1/5 = 0.2
⇒2/7 = 2 * 1/7 = 2 [ 0.142857142857... ]
= 2 [ 0.142857... ] ≈ 0.284
⇒50/3 = 48/3 + 2/3
= 16 + 0.6666... = 16.66666666...
Therefore, here are the decimal expansions
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