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What big equation equals -3.8

User Tegi
by
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1 Answer

4 votes

Answer:

4-2*6+189/2-37*5+102.3

Explanation:

Step by step solution :

Step 1 :

1023

Simplify ————

10

Equation at the end of step 1 :

189 1023

((-8 + ———) - 185) + ————

2 10

Step 2 :

189

Simplify ———

2

Equation at the end of step 2 :

189 1023

((-8 + ———) - 185) + ————

2 10

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 2 as the denominator :

-8 -8 • 2

-8 = —— = ——————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 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:

-8 • 2 + 189 173

———————————— = ———

2 2

Equation at the end of step 3 :

173 1023

(——— - 185) + ————

2 10

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

185 185 • 2

185 = ——— = ———————

1 2

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

173 - (185 • 2) -197

——————————————— = ————

2 2

Equation at the end of step 4 :

-197 1023

———— + ————

2 10

Step 5 :

Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

The left denominator is : 2

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}

2 1 1 1

5 0 1 1

Product of all

Prime Factors 2 10 10

Least Common Multiple:

10

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 = 5

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. -197 • 5

—————————————————— = ————————

L.C.M 10

R. Mult. • R. Num. 1023

—————————————————— = ————

L.C.M 10

Adding fractions that have a common denominator :

5.4 Adding up the two equivalent fractions

-197 • 5 + 1023 19

——————————————— = ——

10 5

Final result :

19

—— = 3.80000

5

User Zanko
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