Which is a correct first step in solving 5- 2x < 8x - 3?
2 answers:
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Answer:
As decimal 20.5833333333
As fraction
mark me as brainliest if right :)
Step-by-step explanation:
Conversion a mixed number 10 2/
3
to a improper fraction: 10 2/3 = 10 2/
3
= 10 · 3 + 2/
3
= 30 + 2/
3
= 32/
3
To find new numerator:
a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/
3
= 30/
3
b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32
c) Write a previous answer (new numerator 32) over the denominator 3.
Ten and two thirds is thirty-two thirds
Conversion a mixed number 9 11/
12
to a improper fraction: 9 11/12 = 9 11/
12
= 9 · 12 + 11/
12
= 108 + 11/
12
= 119/
12
To find new numerator:
a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/
12
= 108/
12
b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119
c) Write a previous answer (new numerator 119) over the denominator 12.
Nine and eleven twelfths is one hundred nineteen twelfths
Add: 32/
3
+ 119/
12
= 32 · 4/
3 · 4
+ 119/
12
= 128/
12
+ 119/
12
= 128 + 119/
12
= 247/
12
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(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.