Need help on the following math problem.
A dress pattern requires 3 1/8 yards of fabrice. Mom purchases 34 3/8 yards of fabric. How many dresses can be made using the pattern?
DIVIDE 34 3/8 BY 3 1/8
MULTIPLY 34 * 8 TO GET 272, ADD 3 TO GET 275/8
THEN MULTIPLY 3*8 TO GET 24 AND ADD 1 TO GET 25
NOW DIVIDE 275/8 BY 25/8
YOU GET 11 DRESSES
34 3/8 divided by 3 1/8 =
275/8 divided by 25/8 =
(275/8) * (8/25) = 2200/200 = 11
A simpler way would be to change the fractions to decimals.
34.375 / 3.125 = 11
To find out how many dresses can be made using the pattern, we need to divide the total amount of fabric purchased by the amount of fabric needed for each dress.
First, let's convert the mixed numbers into improper fractions for easier calculations:
Amount of fabric needed for each dress: 3 1/8 yards
= 3 + 1/8
= 24/8 + 1/8
= 25/8 yards
Total amount of fabric purchased: 34 3/8 yards
= 34 + 3/8
= 34 + 24/8
= 34 + 3
= 37 yards
Now, we can divide the total amount of fabric purchased by the amount of fabric needed per dress:
37 yards / (25/8 yards) = 37 yards * (8/25 yards)
= 296/25
= 11 21/25
Therefore, with the amount of fabric purchased, you can make 11 dresses with 21/25 yards of fabric remaining.