Pippa filled 1/8 of a jar with blue stones, 1/4 of a jar with yellow stones, and 1/2 of a jar with purple stones. how much of the jar is filled altogether?
1/4 = 2/8
1/2 = 4/8
Add:
1/8 + 2/8 + 4/8 = ____/8
To find out how much of the jar is filled altogether, you need to add up the amounts filled with each color of stones.
Pippa filled 1/8 of the jar with blue stones, 1/4 of the jar with yellow stones, and 1/2 of the jar with purple stones.
To add fractions, you need a common denominator. In this case, the common denominator for 8, 4, and 2 is 8.
1/8 can be expanded to 1/8 * 1/1 = 1/8
1/4 can be expanded to 2/8 (multiply numerator and denominator by 2)
1/2 can be expanded to 4/8 (multiply numerator and denominator by 4)
Now you can add the fractions:
1/8 + 2/8 + 4/8 = 7/8
Therefore, the jar is filled 7/8 or 7 out of 8 parts.