Convert. 1. \frac{113}{12} = 2. \frac{19}{2} = 3. \frac{36}{10} = 4. \frac{75}{12} = 5. \frac{50}{8} = 6. \frac{52}{10} = 7. \frac{13}{3} = 8. \frac{39}{4} = 9. \frac{68}{10} = 10. \frac{27}{5} = 11. \frac{53}{8} = 12. \frac{72}{10} = 13. \frac{11}{2} = 14. \frac{45}{8} = 15. \frac{42}{5} =
The Correct Answer and Explanation is:
Let’s convert these fractions to their decimal equivalents. To do this, we divide the numerator by the denominator.
- 11312\frac{113}{12}12113 113÷12=9.4167113 \div 12 = 9.4167113÷12=9.4167 This is approximately 9.4167.
- 192\frac{19}{2}219 19÷2=9.519 \div 2 = 9.519÷2=9.5 This is exactly 9.5.
- 3610\frac{36}{10}1036 36÷10=3.636 \div 10 = 3.636÷10=3.6 This is exactly 3.6.
- 7512\frac{75}{12}1275 75÷12=6.2575 \div 12 = 6.2575÷12=6.25 This is exactly 6.25.
- 508\frac{50}{8}850 50÷8=6.2550 \div 8 = 6.2550÷8=6.25 This is exactly 6.25.
- 5210\frac{52}{10}1052 52÷10=5.252 \div 10 = 5.252÷10=5.2 This is exactly 5.2.
- 133\frac{13}{3}313 13÷3=4.333313 \div 3 = 4.333313÷3=4.3333 This is approximately 4.3333.
- 394\frac{39}{4}439 39÷4=9.7539 \div 4 = 9.7539÷4=9.75 This is exactly 9.75.
- 6810\frac{68}{10}1068 68÷10=6.868 \div 10 = 6.868÷10=6.8 This is exactly 6.8.
- 275\frac{27}{5}527 27÷5=5.427 \div 5 = 5.427÷5=5.4 This is exactly 5.4.
- 538\frac{53}{8}853 53÷8=6.62553 \div 8 = 6.62553÷8=6.625 This is exactly 6.625.
- 7210\frac{72}{10}1072 72÷10=7.272 \div 10 = 7.272÷10=7.2 This is exactly 7.2.
- 112\frac{11}{2}211 11÷2=5.511 \div 2 = 5.511÷2=5.5 This is exactly 5.5.
- 458\frac{45}{8}845 45÷8=5.62545 \div 8 = 5.62545÷8=5.625 This is exactly 5.625.
- 425\frac{42}{5}542 42÷5=8.442 \div 5 = 8.442÷5=8.4 This is exactly 8.4.
Explanation
To convert a fraction to a decimal, the process is simply division. You divide the numerator (the top number of the fraction) by the denominator (the bottom number of the fraction). If the fraction divides evenly, you’ll get an integer. If not, you will get a decimal value, which may be a terminating decimal (as in the examples above) or a repeating decimal (for example, 1/3 = 0.3333…).
In these cases, we used long division to find the decimal equivalents of each fraction, rounding where necessary to match the typical precision for decimals (usually 4 decimal places or fewer).
