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Math  /  Numbers & Operations

Question2. Which of the following fractions is the largest? a. 3/53 / 5 b. 9/89 / 8 c. 6/116 / 11 d. 7/197 / 19 Mark to review later...

Studdy Solution

STEP 1

1. We are comparing four fractions: 35\frac{3}{5}, 98\frac{9}{8}, 611\frac{6}{11}, and 719\frac{7}{19}.
2. The largest fraction will have the greatest value when expressed as a decimal.
3. To compare the fractions accurately, we can either convert them to decimal form or find a common denominator.

STEP 2

1. Convert each fraction to its decimal form.
2. Compare the decimal values to determine which fraction is the largest.

STEP 3

Convert 35\frac{3}{5} to its decimal form.
35=0.6 \frac{3}{5} = 0.6

STEP 4

Convert 98\frac{9}{8} to its decimal form.
98=1.125 \frac{9}{8} = 1.125

STEP 5

Convert 611\frac{6}{11} to its decimal form.
611≈0.5454 \frac{6}{11} \approx 0.5454

STEP 6

Convert 719\frac{7}{19} to its decimal form.
719≈0.3684 \frac{7}{19} \approx 0.3684

STEP 7

Compare the decimal values of the fractions.
0.6<1.125>0.5454>0.3684 0.6 < 1.125 > 0.5454 > 0.3684

STEP 8

Determine the largest fraction based on the comparison.
The largest fraction is 98\frac{9}{8}.

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