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.