(14+42) divided by 7+3/4
Evaluate and show work
56/7.75 = ?
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What is 56 divided by 7.75? Use a calculator.
7.2258
To evaluate the expression (14+42) divided by 7+3/4, we first need to simplify it by following the order of operations (also known as PEMDAS).
Step 1: Perform the addition inside the parentheses:
14 + 42 = 56
Step 2: Perform the addition of the whole numbers outside the parentheses:
56 divided by 7 = 8
Step 3: Deal with the fraction:
3/4 cannot be directly added to 8 since they are different types of numbers. To convert the fraction into a bigger unit, we multiply the numerator (3) by the same value we multiply the denominator (4) to get an equivalent fraction. In this case, we can multiply both the numerator and denominator by 4 to eliminate the fractions:
3/4 * 4/4 = 12/16
Step 4: Add the converted fraction to the whole number:
8 + 12/16
To add a whole number and a fraction, we need to find a common denominator. In this case, since 16 is already a common multiple of 16, we don't need to find a new common denominator. We can add the whole number and fraction directly:
8 + 12/16 = 8 12/16
Step 5: Simplify the fraction:
To simplify the fraction further, we divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 12 and 16 is 4:
8 12/16 = 8 3/4
So, the final answer is 8 3/4.