English, asked by ItzzCrazySnowRider, 3 months ago

Simplify 2/5 x 5/6 ÷ 2/3 + 5/12​

Answers

Answered by AIMANRASHEED
1

Answer:

4/13

Explanation:

first solve 2/3 + 5/12

u will get 13/ 12

thn further slvng we get 2/5 × 5/6 × 12/13

=4/13

Answered by ABHYUDITKUMAR
7

Explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-5" was replaced by "/(-5)".

Step by step solution :

Step 1 :

5

Simplify —

6

Equation at the end of step 1 :

2 5

— + — ÷ -5 ÷ 12

3 6

Step 2 :

5

Divide — by -5

6

Equation at the end of step 2 :

2 -1

— + —— ÷ 12

3 6

Step 3 :

-1

Divide —— by 12

6

Equation at the end of step 3 :

2 -1

— + ——

3 72

Step 4 :

2

Simplify —

3

Equation at the end of step 4 :

2 -1

— + ——

3 72

Step 5 :

Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 72

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 2 2

2 0 3 3

Product of all

Prime Factors 3 72 72

Least Common Multiple:

72

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 = 24

Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

5.3 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. 2 • 24

—————————————————— = ——————

L.C.M 72

R. Mult. • R. Num. -1

—————————————————— = ——

L.C.M 72

Adding fractions that have a common denominator :

5.4 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:

2 • 24 + -1 47

——————————— = ——

72 72

Final result :

47

—— = 0.65278

72

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