Question

Rational Numbers

Consider this expression:

1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4

Answer 1

To solve this expression, we can first combine the fractions and decimals separately:

Fractions:

1/4 + 1/2 - 0.25 + 3/5

To add fractions, we need to find a common denominator:

The common denominator for 1/4 and 1/2 is 4, so we can rewrite them as:

2/8 + 4/8 - 1/4 + 12/20

Now we can add them together:

(2 + 4 - 1 + 12) / 8 = 17/8

Decimals:

0.5 - 0.25 + 0.4

Combine the decimals:

0.5 - 0.25 + 0.4 = 0.65 + 0.4 = 1.05

Now let's add the fractions and decimals:

17/8 + 1.05

To combine a fraction and a decimal, we need to convert the fraction to a decimal:

17/8 as a decimal:

17 ÷ 8 = 2.125

Now we can add the decimal and the fraction:

2.125 + 1.05 = 3.175

So the value of the expression 1/4 - 0.5 + 1/2 - 0.25 + 3/5 + 0.4 is 3.175.