This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to your problems: 1.1) Calculate 4.36 + 2.5 + 12.98. Step 1: Align the decimal points and add the numbers. 4.36 \\ 2.50 \\ + 12.98 \\ 19.84 The sum is 19.84. 19.84 1.2) Calculate 16.3 + 100.23 + 7.5. Step 1: Align the decimal points and add the numbers. 16.30 \\ 100.23 \\ + 7.50 \\ 124.03 The sum is 124.03. 124.03 1.3) Calculate (13)/(5) + 0.57 + 2.14. Step 1: Convert the fraction to a decimal. (13)/(5) = 2.6 Step 2: Add the decimals. 2.60 \\ 0.57 \\ + 2.14 \\ 5.31 The sum is 5.31. 5.31 1.4) Calculate 86.124 - 14.94. Step 1: Align the decimal points and subtract the numbers. Add a zero to 14.94 to match the number of decimal places. 86.124 \\ - 14.940 \\ 71.184 The difference is 71.184. 71.184 1.5) Calculate 94.5 - 37.187. Step 1: Align the decimal points and subtract the numbers. Add zeros to 94.5 to match the number of decimal places. 94.500 \\ - 37.187 \\ 57.313 The difference is 57.313. 57.313 1.6) Calculate (51)/(56) - (43)/(6). Step 1: Find the least common multiple (LCM) of the denominators 56 and 6. The prime factorization of 56 = 2^3 × 7. The prime factorization of 6 = 2 × 3. The LCM(56, 6) = 2^3 × 3 × 7 = 8 × 3 × 7 = 168. Step 2: Convert both fractions to equivalent fractions with the common denominator 168. (51)/(56) = (51 × 3)/(56 × 3) = (153)/(168) (43)/(6) = (43 × 28)/(6 × 28) = (1204)/(168) Step 3: Subtract the fractions. (153)/(168) - (1204)/(168) = (153 - 1204)/(168) = (-1051)/(168) The difference is (-1051)/(168). -(1051)/(168) Send me the next one 📸