-7/8(2/3+4/5)
DO IT BY DISTRIBUTIVE PROPERTY
CHAPTER = RATIONAL NUMBERS
To solve the expression -7/8(2/3+4/5) using the distributive property, we need to distribute the -7/8 to both terms inside the parentheses.
First, we'll simplify the expression inside the parentheses by finding a common denominator for 2/3 and 4/5.
The least common multiple (LCM) of 3 and 5 is 15. To get both fractions to have a denominator of 15, we can multiply 2/3 by 5/5 and 4/5 by 3/3:
2/3 * 5/5 = 10/15
4/5 * 3/3 = 12/15
Now we can rewrite the expression as:
-7/8 * (10/15 + 12/15)
Next, we can add the fractions inside the parentheses:
10/15 + 12/15 = 22/15
Now we can substitute this back into our original expression:
-7/8 * (22/15)
Finally, we'll multiply the two fractions:
-7/8 * 22/15
To multiply fractions, multiply the numerators together and multiply the denominators together:
(-7 * 22) / (8 * 15) = -154/120
The fraction -154/120 cannot be simplified further because both numerator and denominator have a common factor of 2. However, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 2, resulting in:
-77/60
So, the simplified answer to the expression -7/8(2/3+4/5) using the distributive property is -77/60.