marlene has 3 pieces of lace each measuring 1/7 meter, 5/15 meter and 3/7 meter. How long are pieces of lace put together?

1/7 = 0.1429

3/7 = 0.4286
5/15 = 0.3333

Add those decimals together.

Btw-- I didn't use fractions because the metric system is based on decimals, not fractions.

To find the total length of the three pieces of lace, we need to add their lengths together.

Let's start by converting all the measurements to a common denominator. In this case, the least common denominator (LCD) is 7, so we need to convert the fractions to have a denominator of 7.

1/7 meter = (1/7) * (7/7) = 7/49 meter
5/15 meter = (5/15) * (7/7) = 35/105 meter
3/7 meter = (3/7) * (7/7) = 21/49 meter

Now that all the fractions have the same denominator, we can add them together:

7/49 meter + 35/105 meter + 21/49 meter

To add fractions, we need a common denominator. In this case, the LCD is 105, which is the product of 7 and 15 (the denominators of the fractions). So, we need to convert all the fractions to have a denominator of 105.

(7/49) * (15/15) = 105/735 meter
(35/105) * (1/1) = 35/105 meter
(21/49) * (15/15) = 315/735 meter

Now, we can add the fractions:

105/735 meter + 35/105 meter + 315/735 meter

To add fractions with the same denominator, we just add the numerators:

(105 + 35 + 315)/735 meter

= 455/735 meter

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 35:

(455 ÷ 35) / (735 ÷ 35) meter

= 13/21 meter

Therefore, the total length of the three pieces of lace put together is 13/21 meter or approximately 0.62 meters.