14/15 minus 1/3 as a fraction in simplest form

Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

14 1
—— - —
15 3
Step 2 :

14
Simplify ——
15
Equation at the end of step 2 :

14 1
—— - —
15 3
Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 15

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}
3111
5101
Product of all
Prime Factors 15315

Least Common Multiple:
15

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 = 1

Right_M = L.C.M / R_Deno = 5

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. 14
—————————————————— = ——
L.C.M 15

R. Mult. • R. Num. 5
—————————————————— = ——
L.C.M 15
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:

14 - (5) 3
———————— = —
15 5
Final result :

3
— = 0.60000
5

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)