negative four and two sixths divided one and two thirds
lesson 12: operations with fractions unit test
connections academy
grade 7
To divide fractions, we use the following steps:
Step 1: Convert any mixed numbers into improper fractions.
In this case, we have 1 and 2/3, which is equal to (3*1 + 2)/3 = 5/3.
Step 2: Write the division expression as a multiplication expression.
Instead of dividing by a fraction, we can multiply by its reciprocal.
Step 3: Multiply the fractions.
Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
So, let's apply these steps to our problem:
Negative four and two-sixths can be written as -4 2/6, which is equal to -4 + 2/6 = -24/6 + 2/6 = -22/6.
Now, we can rewrite the problem as:
(-22/6) ÷ (5/3)
To convert division to multiplication, we need to multiply by the reciprocal of the second fraction. The reciprocal of 5/3 is 3/5.
So, we have:
(-22/6) × (3/5)
Next, we multiply the numerators and denominators:
(-22 × 3) / (6 × 5)
= -66/30
Lastly, simplify the fraction, if possible. In this case, both the numerator and denominator can be divided by 6:
-66/30 = -11/5
Therefore, negative four and two sixths divided by one and two thirds is equal to -11/5.