Answer:
245/148 = 1 97/148
Step-by-step explanation:
-7 * {1/2 + 2/16} / {1/2 - 2 8/7} =
You must use the correct order of operations, but first, we reduce the fraction 2/16 and change the mixed numeral into a fraction.
= -7 * {1/2 + 1/8} / {1/2 - 22/7}
Now we work inside each set of brackets.
Find common denominators for the addition and the subtraction of fractions.
LCD of 2 and 8 is 8. LCD 2 and 7 is 14.
= -7 * {4/8 + 1/8} / {7/14 - 44/14}
Do the addition and the subtraction of fractions.
= -7 * {5/8} / {-37/14}
Now we do multiplications and divisions from left to right in the order they appear.
= {-35/8} / {-37/14}
= -35/8 * {-14/37}
= 490/296
Reduce.
= 245/148 = 1 97/148
