Answer:
-4 1/3 ÷ 1 3/5 = -6524 = -21724 ≅ -2.7083333
Step-by-step explanation:
Conversion a mixed number 4 13 to a improper fraction: 4 1/3 = 4 13 = 4 · 3 + 13 = 12 + 13 = 133
To find new numerator:
a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 33 = 123
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write previous answer (new numerator 13) over the denominator 3.
Four and one third is thirteen thirds
Unary minus: -133 = -133
Conversion a mixed number 1 35 to a improper fraction: 1 3/5 = 1 35 = 1 · 5 + 35 = 5 + 35 = 85
To find new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 55 = 55
b) Add the answer from previous step 5 to the numerator 3. New numerator is 5 + 3 = 8
c) Write previous answer (new numerator 8) over the denominator 5.
One and three fifths is eight fifths
Divide: the result of step No. 2 : 85 = -133 : 85 = -133 · 58 = -13 · 53 · 8 = -6524
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 85 is 58) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - minus thirteen thirds divided by eight fifths = minus sixty-five twenty-fourths
TAKEN FROM. https://www.hackmath.net/en/calculator/fraction?input=-4+1%2F3+%C3%B7+1+3%2F5&submit=Calculate