Identify the numeric order of these fractions and mixed numbers from smallest to largest: 136, 235, 79, 178.(1 point)
Responses
79, 106, 1618, 135
Start Fraction 7 over 9 End Fraction , Start Fraction 10 over 6 End Fraction , Start Fraction 16 over 18 End Fraction , Start Fraction 13 over 5 End Fraction
79, 136, 178, 235
Start Fraction 7 over 9 End Fraction , 1 Start Fraction 3 over 6 End Fraction , 1 Start Fraction 7 over 8 End Fraction , 2 Start Fraction 3 over 5 End Fraction
1315, 158, 96, 79
Start Fraction 13 over 15 End Fraction , Start Fraction 15 over 8 End Fraction , Start Fraction 9 over 6 End Fraction , Start Fraction 7 over 9 End Fraction
235, 178, 136, 79
2 Start Fraction 3 over 5 End Fraction , 1 Start Fraction 7 over 8 End Fraction , 1 Start Fraction 3 over 6 End Fraction , Start Fraction 7 over 9 End Fraction
2 Start Fraction 3 over 5 End Fraction , 1 Start Fraction 7 over 8 End Fraction , 1 Start Fraction 3 over 6 End Fraction , Start Fraction 7 over 9 End Fraction
To identify the numeric order of these fractions and mixed numbers from smallest to largest, we can compare their values.
Let's convert the mixed numbers into improper fractions:
- 136 can be written as 1 + 36/100 = 136/100
- 235 can be written as 2 + 35/100 = 235/100
- 79 can be written as 79/1
- 178 can be written as 1 + 78/100 = 178/100
Now, let's compare the fractions:
- Comparing 79/1 and 136/100: Multiply 79/1 by 100/100 to make the denominators the same. We get 7900/100 and 136/100. Since 136/100 is smaller than 7900/100, 136/100 is smaller than 79/1.
- Comparing 136/100 and 178/100: Since the denominators are the same, we can compare the numerators. 136/100 is smaller than 178/100.
- Comparing 235/100 and 178/100: Since the denominators are the same, we can again compare the numerators. 178/100 is smaller than 235/100.
Now, let's order the fractions from smallest to largest:
136/100 < 79/1 < 178/100 < 235/100
So the correct numeric order of these fractions and mixed numbers from smallest to largest is:
79, 136, 178, 235