Answer:
1 1/6 - 7 3/6 = -19/
3
= -6 1/
3
≅ -6.3333333
Step-by-step explanation:
Conversion a mixed number 1 1/
6
to a improper fraction: 1 1/6 = 1 1/
6
= 1 · 6 + 1/
6
= 6 + 1/
6
= 7/
6
To find new numerator:
a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/
6
= 6/
6
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 6.
One and one sixth is seven sixths
Conversion a mixed number 7 3/
6
to a improper fraction: 7 3/6 = 7 3/
6
= 7 · 6 + 3/
6
= 42 + 3/
6
= 45/
6
To find new numerator:
a) Multiply the whole number 7 by the denominator 6. Whole number 7 equally 7 * 6/
6
= 42/
6
b) Add the answer from previous step 42 to the numerator 3. New numerator is 42 + 3 = 45
c) Write a previous answer (new numerator 45) over the denominator 6.
Seven and three sixths is forty-five sixths
Subtract: 7/
6
- 45/
6
= 7 - 45/
6
= -38/
6
= 2 · -19/
2 · 3
= -19/
3
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(6, 6) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths minus forty-five sixths = minus nineteen thirds.
![\frac{ L_1^{3} }{ L_2^{3} } = \frac{V_1}{V_2} \\ \\ ratio = \frac{L_1}{L_2} = \frac{\sqrt[3]{V_1} }{\sqrt[3]{V_2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%20L_1%5E%7B3%7D%20%7D%7B%20L_2%5E%7B3%7D%20%7D%20%3D%20%20%5Cfrac%7BV_1%7D%7BV_2%7D%20%20%5C%5C%20%20%5C%5C%20ratio%20%3D%20%20%5Cfrac%7BL_1%7D%7BL_2%7D%20%3D%20%20%20%5Cfrac%7B%5Csqrt%5B3%5D%7BV_1%7D%20%7D%7B%5Csqrt%5B3%5D%7BV_2%7D%20%7D%20)
