1) 654 ÷ 223= (6×4+5) × 34×(2×3+2)=8732= 22332
Solution:
Step 1: Convert mixed numbers to fractions, 654=294 and 223=83
Step 2: Apply the fractions rule for multiplication, 294 ÷ 83= 294 × 38= 8732= 22332
2) 434 ÷ 147= (4×4+3) × 74×(1×7+4)=13344= 3144
Solution:
Step 1: Convert mixed numbers to fractions, 434=194 and 147=117
Step 2: Apply the fractions rule for multiplication, 194 ÷ 117= 194 × 711= 13344= 3144
3) 772 ÷ 434= (7×2+7) × 42×(4×4+3)=8438= 2838
Solution:
Step 1: Convert mixed numbers to fractions, 772=212 and 434=194
Step 2: Apply the fractions rule for multiplication, 212 ÷ 194= 212 × 419= 8438= 2838
4) 1043 ÷ 3510= (10×2+3) × 102×(3×10+5)=6821= 3521
Solution:
Step 1: Convert mixed numbers to fractions, 1043=343 and 3510=3510
Step 2: Apply the fractions rule for multiplication, 343 ÷ 3510= 343 × 1035= 682= 3521
5) 872 ÷ 764= (8×2+7) × 42×(7×4+6)=9268= colorred1617
Solution:
Step 1: Convert mixed numbers to fractions, 872=232 and 764=344
Step 2: Apply the fractions rule for multiplication, 232 ÷ 344= 232 × 434= 9268= 1617
6) 1072 ÷ 779= (10×2+7) × 92×(7×9+7)=243140= 1103140
Solution:
Step 1: Convert mixed numbers to fractions, 1072=272 and 779=709
Step 2: Apply the fractions rule for multiplication, 232 ÷ 344= 272 × 970= 243140= 1103140
7) 796 ÷ 545= (7×6+9) × 56×(5×5+4)=255174= 12758 GCF(255,174) = 3
Solution:
Step 1: Convert mixed numbers to fractions, 796=516 and 545=295
Step 2: Apply the fractions rule for multiplication, 516 ÷ 295= 516 × 529= 255174= 12758
8) 553 ÷ 287= (5×3+5) × 73×(2×7+8)=14066= 2433 GCF(140,66) = 2
Solution:
Step 1: Convert mixed numbers to fractions, 553=203 and 287=227
Step 2: Apply the fractions rule for multiplication, 203 ÷ 227= 203 × 722= 14066= 2433
9) 10810 ÷ 179= (10×10+8) × 910×(1×9+7)=972160= 6340 GCF(972,160) = 6
Solution:
Step 1: Convert mixed numbers to fractions, 10810=10810 and 179=169
Step 2: Apply the fractions rule for multiplication, 10810 ÷ 169= 10810 × 916= 972160= 6340
10) 1083 ÷ 217= (10×3+8) × 73×(2×7+1)=26645= 54145
Solution:
Step 1: Convert mixed numbers to fractions, 1083=383 and 179=169
Step 2: Apply the fractions rule for multiplication 383 ÷ 169= 383 × 916= 26645= 54145