Math, asked by jaideepreddy1873, 2 months ago

7/12+(8/-15) solve this problem

Answers

Answered by tsenthilmail
0

Answer:

STEP

1

:

8

Simplify ——

15

Equation at the end of step

1

:

7 8

—— + ——

12 15

STEP

2

:

7

Simplify ——

12

Equation at the end of step

2

:

7 8

—— + ——

12 15

STEP

3

:

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 12

The right denominator is : 15

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 2 0 2

3 1 1 1

5 0 1 1

Product of all

Prime Factors 12 15 60

Least Common Multiple:

60

Calculating Multipliers :

3.2 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 = 4

Making Equivalent Fractions :

3.3 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. 7 • 5

—————————————————— = —————

L.C.M 60

R. Mult. • R. Num. 8 • 4

—————————————————— = —————

L.C.M 60

Adding fractions that have a common denominator :

3.4 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:

7 • 5 + 8 • 4 67

————————————— = ——

60 60

Final result :

67

—— = 1.11667

60

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