Question

5 1/4*(4 7/8-3 23/24)

Answer 1

Ответ:4 39/48

Пошаговое объяснение:

5 1/4*(4 7/8-3 23/24)=

1) 4 7/8-3 23/24=39/8-95/24=(3*39-1*95)/24=22/24=11/12

2)5 1/4*11/12=21/4*11/12=(21*11)\(4*12)=231/48=4 39/48

Answer 2

To solve the expression 5 1/4 * (4 7/8 - 3 23/24), we need to simplify the values inside the parentheses first and then perform the multiplication. Let's break it down step by step:

1. Convert the mixed numbers into improper fractions: 4 7/8 = (4 * 8 + 7) / 8 = 39/8 3 23/24 = (3 * 24 + 23) / 24 = 95/24

2. Calculate the subtraction inside the parentheses: (39/8 - 95/24)

   To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 24 is 24.

   (39/8 - 95/24) = (39/8 * 3/3 - 95/24 * 1/1) = (117/24 - 95/24) = (117 - 95) / 24 = 22/24

   Simplify 22/24 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2: 22/24 = (22/2) / (24/2) = 11/12

3. Perform the multiplication: 5 1/4 * (11/12)

   Convert the mixed number 5 1/4 into an improper fraction: 5 1/4 = (5 * 4 + 1) / 4 = 21/4

   Now multiply the fractions: (21/4 * 11/12)

   Multiply the numerators and denominators: (21 * 11) / (4 * 12) = 231 / 48

Finally, if needed, simplify the fraction by dividing both the numerator and denominator by their GCD, which is 3: 231/48 = (231/3) / (48/3) = 77/16

Therefore, 5 1/4 * (4 7/8 - 3 23/24) equals 77/16.