Question

(13/50-1/20)*3 4/7+5/12*1 7/15

Answer 1

( $\frac{13}{50} - \frac{1}{20}$ ) *  $\frac{34}{7} + \frac{5}{12} * \frac{17}{15}$

1)  $\frac{13}{50} - \frac{1}{20} = \frac{26 - 5}{100} = \frac{21}{100}$
2)  $\frac{21}{100} * \frac{34}{7} = \frac{21 * 34}{100*7} = \frac{102}{100} = \frac{51}{50}$
3)  $\frac{5}{12} * \frac{17}{15} = \frac{17}{36}$
4) $\frac{51}{50} + \frac{17}{36} = \frac{1343}{900} = 1 \frac{443}{900}$

Answer 2

To evaluate the expression, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication, and Division, from left to right, Addition and Subtraction from left to right):

Step 1: Simplify the first part of the expression: (13/50 - 1/20) * 3

Step 2: Perform the subtraction inside the parentheses: (0.26 - 0.05) * 3

Step 3: Perform the multiplication: 0.21 * 3

Step 4: Multiply: 0.63

Now, let's simplify the second part of the expression: (4/7) + (5/12 * 1 7/15)

Step 5: Convert the mixed number to an improper fraction for easier calculations: 1 7/15 = (15 * 1 + 7) / 15 = 22/15

Step 6: Perform the multiplication inside the parentheses: 5/12 * 22/15

Step 7: Multiply: (5 * 22) / (12 * 15) = 110 / 180

Step 8: Simplify the fraction: 110 / 180 = 11/18

Step 9: Add the fractions together: 4/7 + 11/18

Step 10: Find the common denominator (LCD) for 7 and 18, which is 126: (4/7 * 18/18) + (11/18 * 7/7)

Step 11: Add the fractions: (72/126) + (77/126)

Step 12: Combine the fractions: (72 + 77) / 126 = 149 / 126

Now the final result is:

(13/50 - 1/20) * 3 = 0.63 (4/7 + 5/12 * 1 7/15) = 149 / 126

Note: If you need a decimal approximation for the fraction 149/126, you can divide 149 by 126 to get approximately 1.18254 (rounded to five decimal places).