Question

1 7/48 • 2 2/5 (9 1/4 • 4/15 + 1 15/9) • 2/5​

Answer 1

Відповідь не помістилась
Відповідь: 847/150 х

Answer 2

To simplify the expression:

Step 1: Evaluate the expression within parentheses: 9 1/4 • 4/15 + 1 15/9

To perform the multiplication, convert mixed numbers to improper fractions: (37/4) • (4/15) + (24/9) • (15/9)

Multiply the numerators and denominators: (37 * 4)/(4 * 15) + (24 * 15)/(9 * 9)

Simplify: 148/60 + 360/81

To add these fractions, we need a common denominator: Convert 148/60 to a fraction with a denominator of 81: Multiply the numerator and denominator by (81/20): (148 * 81)/(60 * 81) = 11988/4860

Add the fractions: (11988/4860) + (360/81) = (11988 + 1800)/4860 = 13788/4860

Simplify: Divide both the numerator and denominator by their greatest common divisor, which is 396: (13788/3960) ÷ (4860/3960) = 13788/4860 = 1379/486

Step 2: Substitute the evaluated expression back into the original expression:

1 7/48 • 2 2/5 • (1379/486) • 2/5

Multiply the mixed numbers and fractions: (1 + 7/48) • (2 + 2/5) • (1379/486) • 2/5

Convert the mixed numbers to improper fractions: (55/48) • (12/5) • (1379/486) • 2/5

Multiply the fractions: (55 * 12 * 1379 * 2)/(48 * 5 * 486 * 5)

Simplify: (180180/1166400) = 901/5832

Therefore, the simplified expression is 901/5832.