Hey There! Happy to Help! Your answer is below.
17/20 = 0.85000
Step 1:
Simplify 7/10
⇒ (3/4 + 4/5) - 7/10
Step 2:
Simplify 4/5
⇒ (3/4 + 4/5) - 7/10
Step 3:
Simplify 3/4
⇒(3/4 + 4/5) - 7/10
Step 4:
Calculating the Least Common Multiple
⇒ Find the Least Common Multiple
The left denominator is : 4 The right denominator is : 5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2202
5011
Product of all
Prime Factors 4520
Least Common Multiple:
20
Calculating Multipliers
⇒ 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 = 4Making Equivalent Fractions
⇒ 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 • 5
=
L.C.M 20
R. Mult. • R. Num. 4 • 4
=
L.C.M 20
Adding fractions that have a common denominator
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 • 5 + 4 • 4 31
= ---
20 20
Equation at the end of step 4:
31 7
-
20 10
Step 5:
Calculating the Least Common Multiple :
Find the Least Common Multiple
The left denominator is : 20
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}
2212
5111
Product of all
Prime Factors 201020
Least Common Multiple:
20
Calculating Multipliers :
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 = 2
Making Equivalent Fractions :
Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 31
=
L.C.M 20
R. Mult. • R. Num. 7 • 2
=
L.C.M 20
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
31 - (7 • 2) 17'
= ---
20 20
17
—— = 0.85000
20
