Question

Maria painted equal sections of her bedroom wall to make a pattern. She painted 2/5 of the wall white and one second of the wall lavender. Write equivalent fractions for each fraction using a common denominator.

Answer 1

Maria can use 4/10 and 5/10 as equivalent fractions for 2/5 and 1/2 respectively, by using the least common multiple of the denominators, which is 10.

Step-by-step explanation:

Maria painted equal sections of her bedroom wall with different colors and needs to write equivalent fractions for each fraction using a common denominator. She painted 2/5 of the wall white and 1/2 of the wall lavender. To find equivalent fractions with a common denominator for these two fractions, we need to find the least common multiple (LCM) of the denominators 5 and 2. The LCM of 5 and 2 is 10, so we will use 10 as the common denominator. To convert each fraction, we multiply both the numerator and the denominator by a number that will give us the common denominator of 10.

For 2/5, we multiply both the numerator and the denominator by 2 to get 4/10. For 1/2, we multiply both the numerator and the denominator by 5 to get 5/10. Therefore, the equivalent fractions with a common denominator are 4/10 for the white wall section and 5/10 for the lavender wall section.