3/4 plus 4/5 subtract 7/10

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17/20 = 0.85000

Step 1:

⇒ (3/4 + 4/5) - 7/10

Step 2:

⇒ (3/4 + 4/5) - 7/10

Step 3:

⇒(3/4 + 4/5) - 7/10

Step 4:

⇒ Find the Least Common Multiple

Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2202

5011

Product of all

Prime Factors  4520

  Least Common Multiple:

     20

⇒  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

⇒ 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.               3 • 5

   =  

L.C.M                                     20  

  R. Mult. • R. Num.      4 • 4

=  

   L.C.M                           20  

 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:

3 • 5 + 4 • 4     31

= ---

     20           20

Equation at the end of step 4:

 31     7

-

20   10

Step 5:

 Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2212

5111

Product of all

Prime Factors  201020

   Least Common Multiple:

     20

Calculating Multipliers :

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 :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num.      31

=

L.C.M                      20

R. Mult. • R. Num.      7 • 2

=

L.C.M              20  

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

31 - (7 • 2)     17'

 = ---

20          20

 17          

 —— = 0.85000

 20        

step-by-step explanation:

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