Answer:
Step-by-steplanation:
Add: 1
2
+ 2
5
= 1 · 5
2 · 5
+ 2 · 2
5 · 2
= 5
10
+ 4
10
= 5 + 4
10
= 9
10
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, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one half plus two fifths = nine tenths.
Conversion a mixed number 6 2
7
to a improper fraction: 6 2/7 = 6 2
7
= 6 · 7 + 2
7
= 42 + 2
7
= 44
7
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7
7
= 42
7
b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
c) Write previous answer (new numerator 44) over the denominator 7.
Six and two sevenths is forty-four sevenths
Add: the result of step No. 1 + 44
7
= 9
10
+ 44
7
= 9 · 7
10 · 7
+ 44 · 10
7 · 10
= 63
70
+ 440
70
= 63 + 440
70
= 503
70
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(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - nine tenths plus forty-four sevenths = five hundred three seventieths.
Answer:
5
Step-by-step explanation:
congruent means sides are equal
Answer:
c > -5
Step-by-step explanation:
-5c + 2 < 27
- 2 - 2 Subtract 2 from both sides
-5c < 25 Divide both sides by -5 and flip the sign
c > -5
I graphed the inequality on the graph below.
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Answer:
y we use y
Step-by-step explanation:
Answer:The integers are -13, -12 and -11.
Step-by-step explanation:
Let the four numbers be n, n+1, n +2, and n+3
Therefore (n )+ (n+1 )+(n+2) + (n +3) = -46
4n + (1 +2+3) = -46
4n + 6= -46
Subtract 6 from both sides to get the value of n
4n +6 - 6= -46 -6
4n = -52
Divide both sides by 4
n = -52/4
n = -13
Therefore, n + 1 = -13 + 1= -12
n + 2= -13 + 2 = -11
The integers are -13, -12 and -11.
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