Question

0,5:1 1/4+1 2/5:4 4/7-3/11

Answer 1

$0.5 \div 1 \frac{1}{4} + 1 \frac{2}{5} \div 4 \frac{4}{7} - \frac{3}{11} = \frac{2}{5} + \frac{49}{160} - \frac{3}{11} = \\ \frac{763}{1760}$

Answer 2

To solve the expression, let's take it step by step:

1. 1/4 + 1 = 1 + 1/4 = 5/4

2. 2/5 ÷ 4 = 2/5 * 1/4 = 2/20 = 1/10

3. 4/7 - 3/11 = (44/77) - (21/77) = (44 - 21)/77 = 23/77

Now, let's put all the results together:

0.5:1 + 5/4 + 1/10 - 23/77

To add or subtract fractions, they need to have the same denominator. The common denominator for 4, 10, and 77 is 308:

(0.5308):308 + (577)/(477) + (131)/(1031) - (234)/(77*4)

Now, let's simplify:

154/308 + 385/308 + 31/308 - 92/308

Next, add the fractions:

(154 + 385 + 31 - 92)/308

Calculate the numerator:

428/308

Now, simplify the fraction:

428 ÷ 4 = 107 308 ÷ 4 = 77

So the final result is:

107/77 or approximately 1.39