Question

1) 14 - 15 1/₈ ÷ 2 1/₅ = 2) 95/₁₂ * 18/₅ = 3) 2) ÷1) =

Answer 1

Ответ:

$7\frac{1}{8};$  $28\frac{1}{2};$  $4;$

Пошаговое объяснение:

$1) 14-\frac{15*8+1}{8}:\frac{11}{5}=14-\frac{80+40+1}{8}*\frac{5}{11}=14-\frac{121*5}{8*11}=14-\frac{55}{8}=14-6\frac{7}{8}=7\frac{1}{8};$

$2) \frac{95}{12}*\frac{18}{5}=\frac{19*5*6*3}{6*2*5}=\frac{19*3}{2}=\frac{30+27}{2}=\frac{57}{2}=28\frac{1}{2};$

$3) \frac{57}{2}:7\frac{1}{8}=\frac{57}{2}:\frac{57}{8}=\frac{57}{2}*\frac{8}{57}=\frac{57*4*2}{2*57}=4;$

Answer 2

Let's solve each of these math problems step by step:

1. 14 - 15 1/₈ ÷ 2 1/₅ First, let's convert the mixed numbers to improper fractions:

• 15 1/₈ = 8/8 * 15 + 1/8 = 121/8
• 2 1/₅ = 5/5 * 2 + 1/5 = 11/5

Now, we can rewrite the expression: 14 - 121/8 ÷ 11/5

Next, let's perform the division: (14 - 121/8) ÷ (11/5)

To subtract a fraction, they need a common denominator, which in this case is 8. So, we'll convert 14 to a fraction with a denominator of 8: 14 = 14 * 8/8 = 112/8

Now the expression becomes: (112/8 - 121/8) ÷ (11/5)

Subtract the numerators: (112 - 121)/8 ÷ (11/5) = (-9/8) ÷ (11/5)

Now, divide the fractions: (-9/8) ÷ (11/5) = (-9/8) * (5/11)

Multiply the numerators and denominators: (-9 * 5)/(8 * 11) = -45/88

So, the result is -45/88.

2. 95/₁₂ * 18/₅ Let's multiply the fractions: (95/12) * (18/5)

Multiply the numerators and denominators: (95 * 18)/(12 * 5) = 1710/60

Now, simplify the fraction: 1710/60 = 57/2

So, the result is 57/2.

3. To calculate 2) ÷ 1), you simply divide the result from problem 2) by 1: (57/2) ÷ 1 = 57/2

So, 2) ÷ 1) = 57/2.