What is #4/5 -: 6 2/3#?

Question

Mila Anderson · Accepted Answer

#=3/25# or #0.12# (if the answer is asked to be in decimal form)

Before answering this type of question you have to change mixed numbers into improper fractions. #4/5 ÷ (6 * 3 + 2)/3 = 20/3# Then you apply KOF (Keep, Opposite, Flip) You Keep the #4/5#, you put the Opposite sign of division, and you Flip the #20/3# So, you get this: #4/5 xx 3/20 = (4 * 3)/(5 * 20) = 12/100# Then simplify the fraction by dividing by #4#, as #12# is #3 xx 4# and #100# is #25 xx 4#; they have a common factor. The answer will be #12/100 = 3/25#, or #0.12#

Aurora Arias · Answer

undefined To divide the fraction $ \frac{4}{5} $ by the mixed number $ 6 \frac{2}{3} $, you first need to convert the mixed number to an improper fraction.

Step 1: Convert the mixed number $ 6 \frac{2}{3} $ to an improper fraction.
$$ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} $$

Step 2: Divide the fraction $ \frac{4}{5} $ by the improper fraction $ \frac{20}{3} $.
$$ \frac{4}{5} \div \frac{20}{3} = \frac{4}{5} \times \frac{3}{20} $$

Step 3: Multiply the numerators and denominators.
$$ \frac{4 \times 3}{5 \times 20} = \frac{12}{100} $$

Step 4: Simplify the fraction.
$$ \frac{12}{100} = \frac{3}{25} $$

So, $ \frac{4}{5} \div 6 \frac{2}{3} = \frac{3}{25} $.