Perform the following operation ( 2 c = 1 pt, 2 pt = 1 qt, 4 qt = 1 gal)
1qt 1pt 1c + 1pt 1c
Please help ASAP I'm struggling a lot on this! :(
1qt 1pt 1c = 4c 2c 1c = 7c
1pt 1c = 2c 1c = 3c
add them up to get 10c = 2*4c + 2c = 2qt 1pt
or, in terms of qts,
1 + 1/2 + 1/4 + 1/2 + 1/4 = 1 + 1 + 2/4 = 2 1/2 qt = 2qt 1pt
To perform this operation, we need to convert all the units to the same level. In this case, let's convert everything to gallons.
Given:
1 qt 1 pt 1 c + 1 pt 1 c
Step 1: Convert quarts and pints to gallons.
1 quart (qt) = 1/4 gallons
1 pint (pt) = 1/8 gallons
Step 2: Convert cups to pints.
1 cup (c) = 1/2 pints
Now, let's rewrite the operation using these conversions:
1/4 gallons 1/8 gallons 1/2 pints + 1/8 gallons 1/2 pints
Step 3: Combine the like terms.
1/4 gallons * 1/8 gallons = 1/32 gallons^2
1/2 pints * 1/8 gallons = 1/16 gallons
The operation becomes:
1/32 gallons^2 + 1/16 gallons
Step 4: Add the fractions.
To add fractions, we need a common denominator. In this case, the denominator is 32. So, we need to rewrite 1/16 gallons with the denominator of 32.
1/16 gallons = 2/32 gallons
Now, the operation becomes:
1/32 gallons^2 + 2/32 gallons
Step 5: Add the fractions together.
1/32 gallons^2 + 2/32 gallons = (1 + 2)/32 gallons = 3/32 gallons
Therefore, the result of the operation is 3/32 gallons.