Answer:
Conversion a mixed number -3 1
2
to a improper fraction: -3 1/2 = -3 1
2
= -3 · 2 + (-1)
2
= -6 + (-1)
2
= -7
2
To find new numerator:
a) Multiply the whole number -3 by the denominator 2. Whole number -3 equally -3 * 2
2
= -6
2
b) Add the answer from previous step -6 to the numerator 1. New numerator is -6 + 1 = -5
c) Write previous answer (new numerator -5) over the denominator 2.
Minus three and one half is minus five halfs
Conversion a mixed number -1 1
4
to a improper fraction: -1 1/4 = -1 1
4
= -1 · 4 + (-1)
4
= -4 + (-1)
4
= -5
4
To find new numerator:
a) Multiply the whole number -1 by the denominator 4. Whole number -1 equally -1 * 4
4
= -4
4
b) Add the answer from previous step -4 to the numerator 1. New numerator is -4 + 1 = -3
c) Write previous answer (new numerator -3) over the denominator 4.
Minus one and one quarter is minus three quarters
Multiple: -7
2
* (-5
4
) = -7 · (-5)
2 · 4
= 35
8
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 8) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - minus seven halfs multiplied by minus five quarters = thirty-five eighths.
Unary minus: -7
2
= -7
2
Subtract: the result of step No. 4 - (-17
4
) = -7
2
- (-17
4
) = -7 · 2
2 · 2
- (-17)
4
= -14
4
- (-17
4
) = -14 - (-17)
4
= 3
4
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 the both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - minus seven halfs minus minus seventeen quarters = three quarters.
Compare: the result of step No. 3 = the result of step No. 5 = 35
8
= 3
4
= 35
8
vs 3
4
= 35
8
vs 3 · 2
4 · 2
= 35
8
vs 6
8
= 35 vs 6 = No
Step-by-step explanation:
