Answer:
1/5 or 0.2
Step-by-step explanation:
Conversion a mixed number 1 1/ 5
to a improper fraction: 1 1/5 = 1 1/ 5
= 1 · 5 + 1/ 5
= 5 + 1/ 5
= 6/ 5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ 5
= 5/ 5
b) Add the answer from previous step 5 to the numerator 1. New numerator is 5 + 1 = 6
c) Write a previous answer (new numerator 6) over the denominator 5.
One and one fifth is six fifths
Subtract: 6/ 5
- 2/ 5
= 6 - 2/ 5
= 4/ 5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - six fifths minus two fifths = four fifths.
Multiple: the result of step No. 2 * (-3/ 4
) = 4/ 5
* (-3/ 4
) = 4 · (-3)/ 5 · 4
= -12/ 20
= -3 · 4/ 5 · 4
= -3/ 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 20) = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - four fifths multiplied by minus three quarters = minus three fifths.
Multiple: the result of step No. 3 * 3 = -3/ 5
* 3 = -3 · 3/ 5 · 1
= -9/ 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-9, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus three fifths multiplied by three = minus nine fifths.
Divide: the result of step No. 4 : (-9) = -9/ 5
: (-9) = -9/ 5
· -1/ 9
= -9 · (-1)/ 5 · 9
= 9/ 45
= 9 · 1/ 9 · 5
= 1/ 5
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 -9/ 1
is 1/ -9
) 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 9 gives 1/ 5
.
In other words - minus nine fifths divided by minus nine = one fifth.
