Comparing Fractions
Which is greater:
3/8 or 1/4
3/8
Write 0.07 as a fraction in hundredths.
0.07 = 7/100
Multiply using the standard algorithm: 6 × 34
6 × 34 = 204
Put these in order from least to greatest:
2/3, 3/4, 4/6
2/3, 4/6, 3/4
What is 0.237 written in words and as a fraction in thousandths?
0.237 = "two hundred thirty-seven thousandths" = 237/1000
Multiply: 27 × 5 using the standard algorithm and show your steps
27 × 5 = 135
Find a fraction equivalent to 5/12 with denominator 36. Then compare 5/12 and 11/36 using >, =, or <.
5/12 = 15/36. Compare 15/36 and 11/36: 15/36 > 11/36. So 5/12 > 11/36.
Compare 0.45 and 0.450 using >, =, or <
0.45 = 0.450, so 0.45 = 0.450 (they are equal)
Multiply: 43 × 12 using the standard algorithm (show partial products)
43 × 12: 43 × 2 = 86; 43 × 10 = 430; total = 516
Sam says 3/5 = 6/10 and 3/5 > 4/7. Use a common denominator to confirm whether 3/5 is greater than 4/7.
3/5 = 6/10. Common denominator for 6/10 and 4/7 is 70: 6/10 = 42/70; 4/7 = 40/70
42/70 > 40/70, so 3/5 > 4/7
Add 0.36 + 0.047. Write the answer as a decimal and as a fraction in thousandths.
0.36 + 0.047 = 0.407 = 407/1000
Multiply: 128 × 7 using the standard algorithm. Show all steps
128 × 7 = 896
Create two different pairs of fractions with unlike denominators that are equal to each other. Show how you found each pair
Examples: (a) 1/2 and 2/4; (b) 3/5 and 6/10. (Any correct equivalent pairs and explanation accepted.)
A ribbon is 0.789 meters long and a string is 0.798 meters long. How much longer is the string than the ribbon? Show subtraction with decimals and express the difference as thousandths.
0.798 − 0.789 = 0.009 = 9/1000
Multiply: 236 × 14 using the standard algorithm.
236 × 14: 236 × 4 = 944; 236 × 10 = 2360; total = 3304