Question

Find −3 1/5÷1 3/4. Write your answer as a mixed number in simplest form.

Answer 1

Answer: $-1\frac{29}{35}$

Step-by-step explanation:

$\frac{-3\frac{1}{5} }{1\frac{3}{4} }$

Convert the mixed number in the denominator to an improper fraction by multiplying the big number times the denominator and adding the numerator.

$(1*4)+3=?\\4+3=7$

Leave the same denominator.

$\frac{7}{4}$

Let's do the same with the fraction in the numerator.

$-3\frac{1}{5}=\frac{-(3*5+1)}{5} =\frac{-(15+1)}{5} =\frac{-16}{5}$

Our new division is;

$\frac{-\frac{16}{5} }{\frac{7}{4} }$

Now, to get rid of the fraction in the denominator, multiply by the reciprocal fraction. The reciprocal is the inverted fraction.

If our fraction is $\frac{7}{4}$ the reciprocal is $\frac{4}{7}$

$\frac{-\frac{16}{5} }{\frac{7}{4} }*\frac{4}{7}$

This eliminates the denominator.

$-\frac{16}{5}*\frac{4}{7}$

$-\frac{16*4}{5*7} =-\frac{64}{35}$

Now convert this fraction to a mixed number by dividing.

64/35=1

35

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29

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1 is the big number, 29 the numerator and 35 the denominator.

Do not forget about the negative sign in front of it.

$-1\frac{29}{35}$