which is the largest fraction 7/8b 9/8,6/8
Answers
Answer:
9/8
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Use a tie breaking procedure. Compare place values of each number in decimal form. Compare each number starting with the ones column on the left, then the tenths column to the right of the decimal, and finally the hundredths column in the next column to the right.
Do long division (paper and pencil). 7/8 will be the greatest value based upon place value.
7/8 = 0.875
5/6 = 0.833 …
5/24 = 0.208 333 …
4/7 = 0.571 482 …
3/8 = 0.375
The 7/8 fraction wins over 5/6 in the hundredths column. 7 hundredths is greater than 3 hundredths.
Instead of long division we can speed up the conversion of each of the above fractions into decimal numbers by dividing each numerator (top) by its corresponding denominator (bottom). The comparison of place value columns from left to right is the same.
We can also turn each into fractions with a common denominator. A common denominator between fractions with denominators 7, 8, 24, and 6 is 144.
7/8 = 147/168
5/6 = 140/168
5/24 = 35/168
4/7 = 96/168
3/8 = 63/168
Then compare the numerators (tops) of each fraction. Greatest numerator implies the greatest overall fraction. 147 is greater than 140 in the two larger fractions. Therefore, 7/8 is the greatest fraction.