Tina and her sister evenly split a $10 lottery winning. If tina promised to give her brother 1/4 Of her share, what fraction of the original $10 did she give her brother?
The total lottery is 1.
She got 1/2 of the lottery.
She gave away 1/4 of her share, namely (1/2)*(1/4)=1/8
To find out what fraction of the original $10 Tina gave her brother, we first need to determine Tina's share of the winnings.
Since Tina and her sister evenly split the $10 lottery winning, they each receive half of the total amount. Therefore, Tina's share would be:
Tina's Share = 1/2 x $10 = $5
Next, we need to calculate what fraction of Tina's share she promised to give her brother, which is 1/4 of her share:
Tina's Promise to Brother = 1/4 x $5 = $5/4
Finally, to determine the fraction of the original $10 that Tina gave her brother, we divide Tina's Promise to Brother by the total amount:
Fraction Tina Gave Her Brother = Tina's Promise to Brother / Total Amount
= ($5/4) / $10
= $5/4 * 1/$10
= $5/40
= 1/8
So, Tina gave her brother 1/8 of the original $10.