Answer: 34/57
Explanation:
~I'm not sure if you typed the equation correctly, but I solved to the best of my abilities. :)
Conversion a mixed number -3 2/5 to a improper fraction: -3 2/5 = -3 2/5
= -3 · 5 + (-2)/5
= -15 + (-2)/5
= -17/5
To find a new numerator:
a) Multiply the whole number -3 by the denominator 5. Whole number -3 equally -3 * 5/5
= -15/5
b) Add the answer from previous step -15 to the numerator 2. New numerator is -15 + 2 = -13
c) Write a previous answer (new numerator -13) over the denominator 5.
Minus three and two fifths is minus thirteen fifths.
Conversion a decimal number to a fraction: -5.7 = -57/10
= -57/10
a) Write down the decimal -5.7 divided by 1: -5.7 = -5.7/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
-5.7/1
= -57/10
c) Simplify and reduce the fraction
-57/10
= -57 * 1/10 * 1
= -57 * 1/10 * 1
Divide: -17/5 : (-5.7) = -17/5 · -10/57 = -17 · (-10)/5 · 57 = 170/285 = 5 · 34/5 ·57 = 34/57
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -57/10
is 10/-57) of the second fraction.
Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 5 gives 34/57.
In other words - minus seventeen fifths divided by minus fifty-seven tenths is thirty-four fifty-sevenths.
FINAL ANSWER: (-3 2/5) : (-5.7) = 34/57 ≅ 0.5964912