Question

Heidi grew her hair out for many years. Her hair was 1\dfrac{1}{3}1
3
1
​
1, start fraction, 1, divided by, 3, end fraction of a meter long. She donated her hair by cutting off \dfrac{5}{6}
6
5
​
start fraction, 5, divided by, 6, end fraction of a meter.
How long is Heidi's hair now?

Answer 1

Given:  

Heidi's hair was $1\frac{1}{3}$ of a meter long i.e., $\frac{4}{3}$ of a meter

Heidi donated $\frac{5}{6}$ of a meter  

To find:  

The length of Heidi's hair now

Solution:  

Heidi's donated $\frac{5}{6}$ of a meter of her hair by cutting off from the original length of $\frac{4}{3}$ of a meter .  

Therefore,

After cutting, the length of hair that she will be left with is,

 $\frac{4}{3} - \frac{5}{6}$

taking L.C.M of the denominator which will be 6

=   $\frac{(4\:*\:2)\: -\: 5}{6}$

=   $\frac{8\:-\:5}{6}$

=   $\frac{3}{6}$

=   $\frac{1}{2}$

Thus, the length of Heidi's hair now is $\frac{1}{2}$  of a meter.

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