Question

Jada has 3 whole and 1/2 yards of fabric for 21.00 how much is 1 yard

Answer 1

Each yard cost $6.00

Step-by-step explanation

If 3 1/2 yards cost $21.00, we have to divide the total cost by the number of yards bought to find the cost of 1 yard.

To do the division first we have to change the mixed number into an improper fraction:

`3(1)/(2)=3+(1)/(2)=(3\cdot2)/(2)+(1)/(2)=(6)/(2)+(1)/(2)=(7)/(2)`

Now do the division with the KCF rule:

Keep the first fraction

Change the division sign into multiplication sing

Flip the second fraction

Here the first fraction is a whole number, it means that the denominator is 1:

`(21)/(1)\colon(7)/(2)=(21)/(1)*(2)/(7)=(21*2)/(1*7)=(42)/(7)`

Now we can simplify this fraction, because 42 is a multiple of 7. So, dividing both numerator and denominator by 7 we have:

`(42)/(7)=(6)/(1)=6`