jenny`s mom says she has an hour before it's bedtime. Jenny's spends 3\5 of hour texting a friend and 3\8 of the remaining time brushing her teeth and putting on her pajamas. she spends the rest of the time reading her book. how long did jenny read?
First you'll need to get the same denominator. So instead of 3/5 and 3/8 you'll have 24/40 and 15/40. Now that we've changed the value of the denominator, the 40/40 will now represents the 1 hour that Jenny has before bedtime. So you add 24/40 and 15/40 and get 39/40. 39/40 stands for the time that Jenny has already spent brushing her teeth and texting her friend all together. Since the 1 hour is 40/40 subtract 39/40 from it to get 1/40. 1/40 is equal to the rest of the time Jenny spends reading or 1.5 minutes.
15 minutes
Given:
Question:
How long did Jenny read?
The Process:
Step-1: We need to calculate the time of texting a friend in minutes.
Recall that \(\boxed{1 \ hour = 60 \ minutes}\)
\(\boxed{\frac{3}{5} \ hour = \ ? \ minutes}\)
\(\boxed{\frac{3}{5} \ hour = \frac{3}{5} \times 60 \ minutes}\)
We crossed out 5 and 60, i.e., \(\boxed{60 \div 5 = 12}\)
\(\boxed{\frac{3}{5} \ hour = 3 \times 12 \ minutes}\)
Therefore,
\(\boxed{\boxed{ \ \frac{3}{5} \ hour = 36 \ minutes \ }}\)
Step-2: Let us calculate the remaining time.
\(\boxed{60 \ minutes - 36 \ minutes = 24 \ minutes }\)
Step-3: Jenny spends \(\frac{3}{8}\) of the remaining time brushing her teeth and putting on her pajamas.
\(\boxed{\frac{3}{8} \times 24 \ minutes}\)
We crossed out 8 and 24, i.e., \(\boxed{24 \div 8 = 3}\)
\(\boxed{= 3 \times 3 \ minutes}\)
\(\boxed{\boxed{ \ 9 \ minutes \ }}\)
Step-4: Let us calculate how long Jenny read for the rest of time.
\(\boxed{24 \ minutes - 9 \ minutes = 15 \ minutes }\)
Thus, Jenny spent 15 minutes reading a book before its bedtime.
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Quick Steps:
Let us calculate how long Jenny read for the rest of time.
\(\boxed{ \ = \bigg(1 - \frac{3}{8} \bigg) \times \bigg(1 - \frac{3}{5} \bigg) \times 60 \ minutes \ }\)
\(\boxed{ \ = \frac{5}{8} \times \frac{2}{5} \times 60 \ minutes \ }\)
\(\boxed{ \ = \frac{10}{40} \times 60 \ minutes \ }\)
\(\boxed{ \ = \frac{1}{4} \times 60 \ minutes \ }\)
\(\boxed{\boxed{ \ 15 \ minutes \ }}\)
Keywords: Jenny, has an hour, before its bedtime, spends 3/5 of an hour, texting a friend, 3/8 of the remaining time, brushing her teeth, putting on her pajamas, reading her book
