## Calculate: 2.7·6.2–9.3·1.2+6.2·9.3–1.2·2.7 not pemdas. some shortcut method plz

Question

Calculate: 2.7·6.2–9.3·1.2+6.2·9.3–1.2·2.7
not pemdas. some shortcut method plz

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2 months 2021-10-05T11:29:16+00:00 2 Answers 0 views 0

60

See steps

Step by Step Solution:

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Reformatting the input :

(1): “2.7” was replaced by “(27/10)”. 8 more similar replacement(s)

STEP

1

:

27

Simplify   ——

10

Equation at the end of step

1

:

27 62   93 12    62 93    12 27

(((——•——)-(——•——))+(——•——))-(——•——)

10 10   10 10    10 10    10 10

STEP

2

:

6

Simplify   —

5

Equation at the end of step

2

:

27 62   93 12    62 93    6 27

(((——•——)-(——•——))+(——•——))-(—•——)

10 10   10 10    10 10    5 10

STEP

3

:

93

Simplify   ——

10

Equation at the end of step

3

:

27 62   93 12    62 93   81

(((——•——)-(——•——))+(——•——))-——

10 10   10 10    10 10   25

STEP

4

:

31

Simplify   ——

5

Equation at the end of step

4

:

27 62   93 12    31 93   81

(((——•——)-(——•——))+(——•——))-——

10 10   10 10    5  10   25

STEP

5

:

6

Simplify   —

5

Equation at the end of step

5

:

27 62   93 6   2883  81

(((——•——)-(——•—))+————)-——

10 10   10 5    50   25

STEP

6

:

93

Simplify   ——

10

Equation at the end of step

6

:

27 62   93 6   2883  81

(((——•——)-(——•—))+————)-——

10 10   10 5    50   25

STEP

7

:

31

Simplify   ——

5

Equation at the end of step

7

:

27   31     279     2883     81

(((—— • ——) –  ———) +  ————) –  ——

10   5      25       50      25

STEP

8

:

27

Simplify   ——

10

Equation at the end of step

8

:

27   31     279     2883     81

(((—— • ——) –  ———) +  ————) –  ——

10   5      25       50      25

STEP

9

:

Calculating the Least Common Multiple

9.1    Find the Least Common Multiple

The left denominator is :       50

The right denominator is :       25

Number of times each prime factor

appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 1 0 1

5 2 2 2

Product of all

Prime Factors  50 25 50

Least Common Multiple:

50

Calculating Multipliers :

9.2    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 = 1

Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

9.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num.      837

——————————————————  =   ———

L.C.M             50

R. Mult. • R. Num.      279 • 2

——————————————————  =   ———————

L.C.M               50

Adding fractions that have a common denominator :

9.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

837 – (279 • 2)     279

———————————————  =  ———

50            50

Equation at the end of step

9

:

279    2883     81

(——— +  ————) –  ——

50      50      25

STEP

10

:

Adding fractions which have a common denominator

10.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

279 + 2883     1581

——————————  =  ————

50          25

Equation at the end of step

10

:

1581    81

———— –  ——

25     25

STEP

11

:

Adding fractions which have a common denominator

11.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1581 – (81)     60

———————————  =  ——

25          1

Final result :

60