What is two thirds of eight
1 answer:
5 + 0.33333...
<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>
<span>x = 0.33333... </span>
<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>
<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>
<span>Answer: </span>
<span>5 1/3 </span>
<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>
<span>1) Take the repeated part and put it over an equivalent number of nines. </span>
<span>Example: </span>
<span>0.57575757... = 57/99 </span>
<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>
<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>
<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
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