Write each decimal as a fraction in simplest form
1.) -2.05
2.) 3.502
3.) 0.064
4.) -8.4
5.) 0.004
6.) -0.70
7.) 5.25
8.) 0.128
9.) 0.0004

Question

Write each decimal as a fraction in simplest form
1.) -2.05
2.) 3.502
3.) 0.064
4.) -8.4
5.) 0.004
6.) -0.70
7.) 5.25
8.) 0.128
9.) 0.0004

anonymous · Answer

I'll do the first few.

For (1) and (2), I'll expand each decimal place as its own fraction.
1)  -2.05 = -2 - 1/20   = -40/20 - 1/20 = -41/20
2)  3.502 = 3 + 0.5 + 0.002 = 3 + 1/2 + 1/500  = 1500/500 + 250/500 + 1/500 = 1751/500

For (3), I'll write it directly as a fraction.
3)  0.064 = 64/1000 = 32/500 = 16/250 = 8/125

Same way with (4)
4)   -8.4 = -84/10 = - 42*2/(5*2) = -42/5