Math, asked by yuvraajsinghpanwar20, 8 hours ago

Simplify ( 3 -7÷ -9 ) × -4 .​

Answers

Answered by MizBroken
6

104

——— = 1.65079

63

Step-by-step explanation:

Step by step solution :

Step 1 :

2

Simplify —

3

Equation at the end of step 1 :

3 5 2

(— + —) - (0 - —)

7 9 3

Step 2 :

5

Simplify —

9

Equation at the end of step 2 :

3 5 -2

(— + —) - ——

7 9 3

Step 3 :

3

Simplify —

7

Equation at the end of step 3 :

3 5 -2

(— + —) - ——

7 9 3

Step 4 :

Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

The left denominator is : 7

The right denominator is : 9

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

7 1 0 1

3 0 2 2

Product of all

Prime Factors 7 9 63

Least Common Multiple:

63

Calculating Multipliers :

4.2 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 = 9

Right_M = L.C.M / R_Deno = 7

Making Equivalent Fractions :

4.3 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. 3 • 9

—————————————————— = —————

L.C.M 63

R. Mult. • R. Num. 5 • 7

—————————————————— = —————

L.C.M 63

Adding fractions that have a common denominator :

4.4 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:

3 • 9 + 5 • 7 62

————————————— = ——

63 63

Equation at the end of step 4 :

62 -2

—— - ——

63 3

Step 5 :

Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

The left denominator is : 63

The right denominator is : 3

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 2 1 2

7 1 0 1

Product of all

Prime Factors 63 3 63

Least Common Multiple:

63

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 = 1

Right_M = L.C.M / R_Deno = 21

Making Equivalent Fractions :

5.3 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. 62

—————————————————— = ——

L.C.M 63

R. Mult. • R. Num. -2 • 21

—————————————————— = ———————

L.C.M 63

Adding fractions that have a common denominator :

5.4 Adding up the two equivalent fractions

62 - (-2 • 21) 104

—————————————— = ———

63 63

Final result :

104

——— = 1.65079

63

✪============♡============✿

 \huge \pink{✿} \red {C} \green {u} \blue {t} \orange {e}  \pink {/} \red {Q} \blue {u} \pink {e} \red {e} \green {n} \pink {♡}

Similar questions