-13/18÷20/27
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-39/40
-13/18÷20/27 Please show work
To divide fractions, you need to follow a simple rule: "invert and multiply." Here's how you can calculate -13/18 ÷ 20/27:
Step 1: Invert the second fraction, which means swapping the numerator and denominator. So, 20/27 becomes 27/20.
Step 2: Multiply the first fraction (-13/18) by the inverted second fraction (27/20). Multiplying fractions involves multiplying the numerators together and multiplying the denominators together.
(-13/18) × (27/20) = (-13 × 27) / (18 × 20)
Step 3: Simplify the resulting fraction, if possible. In this case, we can simplify the numerators and denominators:
-13 × 27 = -351
18 × 20 = 360
So, (-13/18) ÷ (20/27) = -351/360.
To further simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 9. By dividing both the numerator and denominator by 9, we get:
-351 ÷ 9 = -39
360 ÷ 9 = 40
So, the fully simplified fraction is -39/40.