13/2 - 7/8 x 16/91
Try it first then a tutor will check your answer
To calculate the expression 13/2 - 7/8 x 16/91, we need to follow the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Simplify the multiplication within the expression. Multiply the numerators (the numbers on top) together, and multiply the denominators (the numbers on the bottom) together.
So, 7/8 x 16/91 = (7 x 16) / (8 x 91) = 112 / 728.
Step 2: Simplify the division within the expression. To divide one fraction by another, multiply the first fraction by the reciprocal of the second.
So, 112 / 728 = 112 x 1/728 = 112 / 728 = 7 / 47.
Step 3: Now, subtract the fraction 7/47 from 13/2. To subtract fractions, we need to have a common denominator.
To find a common denominator, we need to find the least common multiple (LCM) of the denominators, which in this case is 2 and 47. The LCM of 2 and 47 is simply their product, which is 94.
Now, we need to rewrite both fractions with the common denominator of 94.
13/2 = (13 x 47) / (2 x 47) = 611 / 94.
So, now we have 611/94 - 7/47.
To subtract fractions, subtract the numerators while keeping the common denominator.
611/94 - 7/47 = (611 - 14) / 94 = 597 / 94.
Therefore, the final answer is 597/94.