Answer: 8109/77 in decimal form 105.31169
Step-by-step explanation: simplify 153/4
189 811 212 153
((———+———)+———)+———
11 14 11 14
212
Simplify ———
11
Find the Least Common Multiple
The left denominator is : 11
The right denominator is : 14
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
11 1 0 1
2 0 1 1
7 0 1 1
Product of all
Prime Factors 11 14 154
Least Common Multiple:
154
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 = 14
Right_M = L.C.M / R_Deno = 11
Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 14535
—————————————————— = —————
L.C.M 154
R. Mult. • R. Num. 153 • 11
—————————————————— = ————————
L.C.M 154
Adding fractions that have a common denominator :
7.4 Adding up the two equivalent fractions
14535 + 153 • 11 8109
———————————————— = ————
154 77
8109
———— = 105.31169
77