Question

4 8/10 : 4/16 9/100 + 2 1/25​

Answer 1

1) 4  8 10 ÷  4 16  = 4  4·2 5·2 ÷  1·4 4·4  = 4  4 5 ÷  1 4  =   4 + 4·5 5 ÷  1 4  =   24 5 ÷  1 4  =   24 5 ×  4 1  =   24·4 5·1  =   96 5  =   19·5 + 1 5  = 19  1 5  = 19.2

2) 6  9 100  + 2  1 25  = 8 +   9 100  +   1 25  = 8 +   9 · 1 100 · 1  +   1 · 4 25 · 4  = 8 +   9 100  +   4 100  = 8 +   9 + 4 100  = 8 +   13 100  = 8  13 100  = 8.13

Не блогадари ❤

Answer 2

To simplify the expression 4 8/10 : 4/16 9/100 + 2 1/25, we need to perform the operations in the following order: division (":"), addition ("+"), and then addition again with the second mixed number. Let's break it down step by step:

Step 1: Simplify the division (":")

4 8/10 ÷ 4/16 9/100

First, convert the mixed numbers to improper fractions:

4 8/10 = (4 * 10 + 8)/10 = 48/10 2 1/25 = (2 * 25 + 1)/25 = 51/25

Now, perform the division:

(48/10) ÷ (4/16 9/100) = (48/10) ÷ ((4/16) + (9/100))

Now, simplify the fractions in the denominator:

4/16 = (4/4) / (16/4) = 1/4 9/100 = 9/100

Now, we can rewrite the expression:

(48/10) ÷ ((1/4) + (9/100))

Step 2: Simplify the addition ("+")

Now, add the fractions in the denominator:

(1/4) + (9/100)

To add these fractions, find a common denominator, which is 100:

(25/100) + (9/100) = (25 + 9)/100 = 34/100

Now, rewrite the expression:

(48/10) ÷ (34/100)

Step 3: Simplify the division (":")

To divide fractions, invert the second fraction and multiply:

(48/10) ÷ (34/100) = (48/10) * (100/34)

Now, simplify the fractions before multiplying:

48/10 = 24/5

(24/5) * (100/34)

Now, multiply the fractions:

(24/5) * (100/34) = (24 * 100) / (5 * 34) = 2400/170 = 24/17

So, the simplified expression is:

4 8/10 : 4/16 9/100 + 2 1/25 = 24/17