Question

2/3 -4x + 7/2 = -9x + 5/6

Answer 1

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.