Q1. Tina worked for 1/1/2 hours on her book report. Larry worked for 2/3 hour on his book report. How many more minutes did Tina work on her book report than La

Question

Q2. How many rafael ran for 3500 meters and walked for 2 kilometers . How many meters long was the run/walk?

Answer 1

Q1

 

The key word in the problem here is "how many more".  This tells us that we need to subtract the two times. 

 

The numbers here are not in consistent form, nor are their denominators the same.  This is because one number is a mixed number whereas the other is a fraction.  Therefore, we need to change one of the numbers to match the form of the other number.

 

Let's change the mixed number into fraction.  Multiply the whole number, 1, by the denominator, 2.  Then add the result by the numerator, 1.  This will be our numerator of the fraction.  The denominator of the fraction remains the same.

 

1 1/2 = [(1 × 2) + 1] / 2 = (2 + 1) / 2 = 3/2

 

 

Now, we have two fractions.  We can write the math sentence to represent subtraction.

 

(3 / 2) - (2 / 3)

 

 

Hold on.  We cannot subtract fractions with different denominators.  Therefore, we must find the lowest common multiple of the denominators.

 

6 is the multiple they have in common.  Multiply the numerator and denominator of first fraction by 3.  Multiply the numerator and denominator of second fraction by 2.

 

(9 / 6) - (4 / 6)

 

 

Now, we subtract.  Subtract the numerators.  Keep the denominators the same.

 

5/6

 

 

Tina worked 5/6 hours than Larry.  However, the question asked for minutes, so we must convert minutes to hours.

 

60 minutes = 1 hour

 

 

Multiply 5/6 by 60 to obtain minutes.

 

(5/6) × 60 = 5 × 10 = 50

 

 

Tina worked 50 more minutes that Larry.