What is 78/73 + 4/10?
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Here's how we add
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Step 1We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator. Now we multiply 78 by 10, and get 780, then we multiply 73 by 10 and get 730. Now for the second term. You multiply 4 by 73, and get 292, then multiply 73 by 10 and get 730. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 780 + 292 = 1072 So what's the answer so far?
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Step 3Can this fraction be reduced? First, we attempt to divide it by 2... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again... Nope! So now we try the next greatest prime number, 3... Nope! So now we try the next greatest prime number, 5... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Nope! So now we try the next greatest prime number, 13... Nope! So now we try the next greatest prime number, 17... Nope! So now we try the next greatest prime number, 19... Nope! So now we try the next greatest prime number, 23... Nope! So now we try the next greatest prime number, 29... Nope! So now we try the next greatest prime number, 31... Nope! So now we try the next greatest prime number, 37... Nope! So now we try the next greatest prime number, 41... Nope! So now we try the next greatest prime number, 43... Nope! So now we try the next greatest prime number, 47... Nope! So now we try the next greatest prime number, 53... Nope! So now we try the next greatest prime number, 59... Nope! So now we try the next greatest prime number, 61... Nope! So now we try the next greatest prime number, 67... Nope! So now we try the next greatest prime number, 71... Nope! So now we try the next greatest prime number, 73... Nope! So now we try the next greatest prime number, 79... Nope! So now we try the next greatest prime number, 83... Nope! So now we try the next greatest prime number, 89... Nope! So now we try the next greatest prime number, 97... Nope! So now we try the next greatest prime number, 101... Nope! So now we try the next greatest prime number, 103... Nope! So now we try the next greatest prime number, 107... Nope! So now we try the next greatest prime number, 109... Nope! So now we try the next greatest prime number, 113... Nope! So now we try the next greatest prime number, 127... Nope! So now we try the next greatest prime number, 131... Nope! So now we try the next greatest prime number, 137... Nope! So now we try the next greatest prime number, 139... Nope! So now we try the next greatest prime number, 149... Nope! So now we try the next greatest prime number, 151... Nope! So now we try the next greatest prime number, 157... Nope! So now we try the next greatest prime number, 163... Nope! So now we try the next greatest prime number, 167... Nope! So now we try the next greatest prime number, 173... Nope! So now we try the next greatest prime number, 179... Nope! So now we try the next greatest prime number, 181... Nope! So now we try the next greatest prime number, 191... Nope! So now we try the next greatest prime number, 193... Nope! So now we try the next greatest prime number, 197... Nope! So now we try the next greatest prime number, 199... Nope! So now we try the next greatest prime number, 211... Nope! So now we try the next greatest prime number, 223... Nope! So now we try the next greatest prime number, 227... Nope! So now we try the next greatest prime number, 229... Nope! So now we try the next greatest prime number, 233... Nope! So now we try the next greatest prime number, 239... Nope! So now we try the next greatest prime number, 241... Nope! So now we try the next greatest prime number, 251... Nope! So now we try the next greatest prime number, 257... Nope! So now we try the next greatest prime number, 263... Nope! So now we try the next greatest prime number, 269... Nope! So now we try the next greatest prime number, 271... Nope! So now we try the next greatest prime number, 277... Nope! So now we try the next greatest prime number, 281... Nope! So now we try the next greatest prime number, 283... Nope! So now we try the next greatest prime number, 293... Nope! So now we try the next greatest prime number, 307... Nope! So now we try the next greatest prime number, 311... Nope! So now we try the next greatest prime number, 313... Nope! So now we try the next greatest prime number, 317... Nope! So now we try the next greatest prime number, 331... Nope! So now we try the next greatest prime number, 337... Nope! So now we try the next greatest prime number, 347... Nope! So now we try the next greatest prime number, 349... Nope! So now we try the next greatest prime number, 353... Nope! So now we try the next greatest prime number, 359... Nope! So now we try the next greatest prime number, 367... No good. 367 is larger than 365. So we're done reducing. There you have it! Here's the final answer to 78/73 + 4/10
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