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kipiarov [429]
3 years ago
12

What is the distance between these two numbers on a number line :6,4 1/4

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

To get the distance between

6 and 4\frac{1}{4}, we subtract 4\frac{1}{4} from 6

That is,


d=6-4\frac{1}{4}

We change the mixed number to improper fraction now to get,

d=6-\frac{17}{4}


This is the same as,

d=\frac{6}{1}-\frac{17}{4}

We collect LCM to be 4

=\frac{4\times6-17}{4}


This gives us,

=\frac{24-17}{4}

=\frac{7}{4}

Convert back to mixed number to get,

=1\frac{3}{4}



Therefore the distance between the two numbers is =1\frac{3}{4}


Note that the other way round will result in negative value. That is subtracting 6 from 4\frac{1}{4} will give -1\frac{3}{4}


But since this is distance we find the absolute value and get the same result.

d=|-1\frac{3}{4}|=1\frac{3}{4}


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