1) 729 + 334= (7+3)+2×4 + 3×99×4= 103536
Solution:
The first step is to rewrite the equation with parts separated, 7+29+3+34
Then solve the whole number parts 7+3=10
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 29+34 = 2×4 + 3×99×4 = 8+2736 = 3536
At the end Combine the whole and fraction parts 10+3536 = 103536
2) 537 + 152= (5+1)+3×2 + 5×77×2= 64114=81314
Solution:
The first step is to rewrite the equation with parts separated, 5+37+1+52
Then solve the whole number parts 5+1=6
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 37+52 = 3×2 + 5×77×2 = 6+3514 = 4114 = 21314
At the end Combine the whole and fraction parts 6+21314 = 81314
3) 465 + 724= (4+7)+6×4 + 2×55×4= 113420=11+11420=121420=12710
Solution:
The first step is to rewrite the equation with parts separated, 4+65+7+24
Then solve the whole number parts 4+7=11
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 65+24 = 6×4 + 2×55×4 = 3420 = 11420 = 1710
At the end Combine the whole and fraction parts 11+1710 = 12710
4) 254 + 543= (2+5)+5×3 + 4×44×3= 715+1612=73112=7+2712
Solution:
The first step is to rewrite the equation with parts separated, 2+54+5+42
Then solve the whole number parts 2+5=7
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 54+42 = 5×3 + 4×44×3 = 15+164 = 314 =2712
At the end Combine the whole and fraction parts 7+2712 = 9712
5) 178 + 687= (1+6)+7×7 + 8×88×7= 711356=7+2156=9156
Solution:
The first step is to rewrite the equation with parts separated, 1+78+6+87
Then solve the whole number parts 1+6=7
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 78+87 = 7×7 + 8×88×7 = 11356 = 2156
At the end Combine the whole and fraction parts 7+2156 = 9156
6) 7310 + 643= (7+6)+3×3 + 4×1010×3=139+4030 =134930=13+11930=141930
Solution:
The first step is to rewrite the equation with parts separated 7+310+6+43
Then solve the whole number parts 7+6=13
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 310+43 = 3×3 + 4×1010×3 = 9+4030 = 4930 = 11930
At the end Combine the whole and fraction parts 13+11930=141930
7) 7103 + 756= (7+7)+10×6 + 5×33×6= 1460+1518 =14+7518 =14+4318 =18318=1816
Solution:
The first step is to rewrite the equation with parts separated 7+103+7+56
Then solve the whole number parts 7+7=14
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 103+56 = 10×6 + 5×33×6 = 60+1518 = 7518 = 4318=416
At the end Combine the whole and fraction parts 14+416=1816
8) 786+238= (7+2)+8×8 + 3×66×8= 98248=9+4124=9+11724=101724
Solution:
The first step is to rewrite the equation with parts separated, 7+86+2+38
Then solve the whole number parts 7+2=9
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 86+38 = 8×8 + 3×66×8 = 64+1848 = 8248 = 11724
At the end Combine the whole and fraction parts 9+11724 = 101724
9) 495 + 743= (4+7)+9×3 + 4×55×3= 114715=11+3215=14215
Solution:
The first step is to rewrite the equation with parts separated, 4+95+7+43
Then solve the whole number parts 4+7=11
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 95+43 = 9×3 + 4×55×3 = 27+2015 = 4715 = 3215
At the end Combine the whole and fraction parts 11+3215 = 14215
10) 487 + 646= (4+6)+8×6 + 4×77×6= 107642=10+13442=117642 =111721
Solution:
The first step is to rewrite the equation with parts separated, 4+87+6+46
Then solve the whole number parts 4+6=10
Now solve the fraction parts, and rewrite to solve with the equivalent fractions. 87+46 = 8×6 + 4×77×6 = 48+2842 = 7642 = 13442= 11721
At the end Combine the whole and fraction parts 10+11724 = 111721