Take that same bowl of fruit with 6 apples and 8 bananas, 14 total pieces of fruit. The apple to total fruit ratio is 6 : 14, and the banana to total fruit ratio is 8 : 14. Unlike part-to-part ratios, part-to-whole ratios can be converted directly into fractions given the stated ratios.
To convert part-to-whole ratios into fractions:
Convert the part-to-whole ratios directly into fractions:
6 : 14 becomes 6/14
8 : 14 becomes 8/14
Reduce each fraction to lowest terms:
6/14 simplifies to 3/7
8/14 simplifies to 4/7
The part-to-whole ratios convert into the fractions:
Apples to total fruit = 6 : 14 = 6/14 = 3/7
Bananas to total fruit = 8 : 14 = 8/14 = 4/7
Step-by-step explanation:
Answer:
Part A is 1/4 of the whole
Part B is 3/4 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 9 = 12
Part A = 3 and Part B = 9 are numerators for each fraction.
Answers & Comments
Answer:
Take that same bowl of fruit with 6 apples and 8 bananas, 14 total pieces of fruit. The apple to total fruit ratio is 6 : 14, and the banana to total fruit ratio is 8 : 14. Unlike part-to-part ratios, part-to-whole ratios can be converted directly into fractions given the stated ratios.
To convert part-to-whole ratios into fractions:
Convert the part-to-whole ratios directly into fractions:
6 : 14 becomes 6/14
8 : 14 becomes 8/14
Reduce each fraction to lowest terms:
6/14 simplifies to 3/7
8/14 simplifies to 4/7
The part-to-whole ratios convert into the fractions:
Apples to total fruit = 6 : 14 = 6/14 = 3/7
Bananas to total fruit = 8 : 14 = 8/14 = 4/7
Step-by-step explanation:
Answer:
Part A is 1/4 of the whole
Part B is 3/4 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 9 = 12
Part A = 3 and Part B = 9 are numerators for each fraction.
The fractions are then:
3/12 and 9/12
Meaning:
Part A is 3/12 of the whole
Part B is 9/12 of the whole
Reducing the fractions, it is also true that:
Part A = 1/4 of the whole
Part B = 3/4 of the whole