Question

(6/55×-22/9)-(26/125×-10/39)Find the evaluate:
​

Answer 1

Answer:

STEP

1

:

-10

Simplify ———

39

Equation at the end of step

1

:

6 -22 26 -10

(——•———)-(———•———)

55 9 125 39

STEP

2

:

26

Simplify ———

125

Equation at the end of step

2

:

6 -22 26 -10

(—— • ———) - (——— • ———)

55 9 125 39

STEP

3

:

-22

Simplify ———

9

Equation at the end of step

3

:

6 -22 -4

(—— • ———) - ——

55 9 75

STEP

4

:

6

Simplify ——

55

Equation at the end of step

4

:

6 -22 -4

(—— • ———) - ——

55 9 75

STEP

5

:

Calculating the Least Common Multiple

5.1 Find the Least Common Multiple

The left denominator is : 15

The right denominator is : 75

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 1 1 1

5 1 2 2

Product of all

Prime Factors 15 75 75

Least Common Multiple:

75

Calculating Multipliers :

5.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 5

Right_M = L.C.M / R_Deno = 1