Question

Niki spent 1/2 of an hour driving to work each day and spends 3/4 of an hour driving home. She works every day except Sunday how long does she spend travelling each week as a mixed fraction

Answer 1

To find out how much time Niki spends traveling each week, we first need to calculate her daily travel time.

1. **Daily Travel Time:**
- Time driving to work: \( \frac{1}{2} \) hour
- Time driving home: \( \frac{3}{4} \) hour

We will sum these two times:

\[
\text{Total daily travel time} = \frac{1}{2} + \frac{3}{4}
\]

To add these fractions, we need a common denominator. The least common denominator of 2 and 4 is 4.

Convert \( \frac{1}{2} \) to have a denominator of 4:

\[
\frac{1}{2} = \frac{2}{4}
\]

Now, we can add:

\[
\text{Total daily travel time} = \frac{2}{4} + \frac{3}{4} = \frac{5}{4} \text{ hours}
\]

2. **Weekly Travel Time:**
Niki works every day except Sunday, so she works 6 days a week.

Thus, her total weekly travel time is:

\[
\text{Total weekly travel time} = 6 \times \frac{5}{4}
\]

To multiply:

\[
\text{Total weekly travel time} = \frac{6 \times 5}{4} = \frac{30}{4}
\]

Simplifying \( \frac{30}{4} \):

\[
\frac{30}{4} = \frac{15}{2}
\]

3. **Convert to Mixed Fraction:**
To convert \( \frac{15}{2} \) to a mixed fraction, we divide 15 by 2:

\( 15 \) divided by \( 2 \) is \( 7 \) with a remainder of \( 1 \).

Therefore,

\[
\frac{15}{2} = 7 \frac{1}{2}
\]

So, Niki spends \( 7 \frac{1}{2} \) hours traveling each week.