Answer:
4 2/7 - 6/7 = 24/
7
= 3 3/
7
Step-by-step explanation:
Conversion a mixed number 4 2/
7
to a improper fraction: 4 2/7 = 4 2/
7
= 4 · 7 + 2/
7
= 28 + 2/
7
= 30/
7
To find a new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30
c) Write a previous answer (new numerator 30) over the denominator 7.
Four and two sevenths is thirty sevenths
Subtract: 30/
7
- 6/
7
= 30 - 6/
7
= 24/
7
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(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty sevenths minus six sevenths = twenty-four sevenths.
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Answer:
The correct option is;
(x, y) → (215·x, 215·y)
Step-by-step explanation:
An enlargement is a form of transformation involving an alteration of the size of the shape. When a shape is to be enlarged, the center of the shape is noted and the enlargement of the dimensions of the shape from that center is by multiplication of each point by the factor of the enlargement or the scale factor.
Therefore, based on the requirement for enlargement, and given the dimension of the point from the center as (x, y) the enlargement then is (215·x, 215·y), where 215 is the scale factor.
3/5 of the group = 24
1/5 of the group = 8
The group = 5 x 8 = 40 .