This is the only multimeter I have. I do not want to buy a new one to test one I already have. I know when a fuse is blown when the fuse is clear. This fuse is white. Not clear. My multimeter is not working even though I replaced the batteries. I think the fuse might be blown. I don't know since I have not used the multimeter in a long time. I tried searching it but I could only find information on clear ones. Not white ones. This is a 50 volt fuse.
A fuse in a DMM is usually included into current measuring path only. It shouldn't affect operations of voltmeter mode or ohmmeter mode. You should be able check the fuse continuity with your blown-fuse DMM. If your DMM isn't showing any readings after installing fresh batteries, you have a bigger problem than just a fuse.
From the photo, what you have is a ceramic fuse. Always replace it with the exact type and rating for continued protection. Glass fuses, even if marked with the same voltage and current ratings, do not provide equivalent protection.
The only way to test the fuse by itself is by passing current through it. One way is to get a 9V (PP3) battery, a resistor and an LED. A few K for the resistor is fine, say 1-10K. Eg.
(Sorry, the photo is a bit blurry)
Try making a makeshift continuity tester using a battery torch/flashlight. Open up the back as if you are replacing the battery. Using a bit of wire, link across the back of the flashlight between the negative terminal of the battery and the body of the flashlight, or the metal strip inside if it's a plastic body. Check that it lights.
Now try it again, adding the fuse. Link the body of the flashlight to one end of the fuse with the wire, and press the other end of the fuse against the battery. If it lights, the fuse is OK.