Question

Regarding the fraction 49/30:

a) Reduce it to its simplest form
b) Express it as a mixed number
c) Convert it to a decimal
d) Multiply it by 2/3

Answer 1

The fraction 49/30 is already in simplest form, as a mixed number it is 1 19/30, as a decimal it is approximately 1.6333, and when multiplied by 2/3, it becomes 1 4/45 after simplification.

Step-by-step explanation:

To answer the question regarding the fraction 49/30, let's go through each part step by step:

• a) Reduce it to its simplest form: The fraction 49/30 is already in its simplest form because 49 and 30 have no common factors other than 1.
• b) Express it as a mixed number: Dividing 49 by 30 gives us 1 with a remainder of 19. Thus, the mixed number is 1 19/30.
• c) Convert it to a decimal: To convert the fraction to a decimal, divide the numerator by the denominator. Thus, 49/30 is approximately 1.6333.
• d) Multiply it by 2/3: To multiply fractions, you multiply the numerators together and the denominators together. So, (49/30) × (2/3) equals (49×2)/(30×3), which simplifies to 98/90, and further simplified to 1 8/90 or 1 4/45 after reducing.