math help

What is 87/100 + 4/11?

What is 87/100 + 4/11?

This is how to add

87
100
+
4
11

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 87 by 11, and get 957, then we multiply 100 by 11 and get 1100.

87/100 times 11

Do the same for the second term. We multiply 4 by 100, and get 400, then multiply 100 by 11 and get 1100.

4/11 times 100

The problem now has new fractions to add:

957
1100
+
400
1100

Step 2

Since our denominators match, we can add the numerators.

957 + 400 = 1357

This yields the answer

1357
1100

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

Nope. Try the next prime number, 131...

Nope. Try the next prime number, 137...

Nope. Try the next prime number, 139...

Nope. Try the next prime number, 149...

Nope. Try the next prime number, 151...

Nope. Try the next prime number, 157...

Nope. Try the next prime number, 163...

Nope. Try the next prime number, 167...

Nope. Try the next prime number, 173...

Nope. Try the next prime number, 179...

Nope. Try the next prime number, 181...

Nope. Try the next prime number, 191...

Nope. Try the next prime number, 193...

Nope. Try the next prime number, 197...

Nope. Try the next prime number, 199...

Nope. Try the next prime number, 211...

Nope. Try the next prime number, 223...

Nope. Try the next prime number, 227...

Nope. Try the next prime number, 229...

Nope. Try the next prime number, 233...

Nope. Try the next prime number, 239...

Nope. Try the next prime number, 241...

Nope. Try the next prime number, 251...

Nope. Try the next prime number, 257...

Nope. Try the next prime number, 263...

Nope. Try the next prime number, 269...

Nope. Try the next prime number, 271...

Nope. Try the next prime number, 277...

Nope. Try the next prime number, 281...

Nope. Try the next prime number, 283...

Nope. Try the next prime number, 293...

Nope. Try the next prime number, 307...

Nope. Try the next prime number, 311...

Nope. Try the next prime number, 313...

Nope. Try the next prime number, 317...

Nope. Try the next prime number, 331...

Nope. Try the next prime number, 337...

Nope. Try the next prime number, 347...

Nope. Try the next prime number, 349...

Nope. Try the next prime number, 353...

Nope. Try the next prime number, 359...

Nope. Try the next prime number, 367...

Nope. Try the next prime number, 373...

Nope. Try the next prime number, 379...

Nope. Try the next prime number, 383...

Nope. Try the next prime number, 389...

Nope. Try the next prime number, 397...

Nope. Try the next prime number, 401...

Nope. Try the next prime number, 409...

Nope. Try the next prime number, 419...

Nope. Try the next prime number, 421...

Nope. Try the next prime number, 431...

Nope. Try the next prime number, 433...

Nope. Try the next prime number, 439...

Nope. Try the next prime number, 443...

Nope. Try the next prime number, 449...

Nope. Try the next prime number, 457...

Nope. Try the next prime number, 461...

Nope. Try the next prime number, 463...

Nope. Try the next prime number, 467...

Nope. Try the next prime number, 479...

Nope. Try the next prime number, 487...

Nope. Try the next prime number, 491...

Nope. Try the next prime number, 499...

Nope. Try the next prime number, 503...

Nope. Try the next prime number, 509...

Nope. Try the next prime number, 521...

Nope. Try the next prime number, 523...

Nope. Try the next prime number, 541...

Nope. Try the next prime number, 547...

Nope. Try the next prime number, 557...

Nope. Try the next prime number, 563...

Nope. Try the next prime number, 569...

Nope. Try the next prime number, 571...

Nope. Try the next prime number, 577...

Nope. Try the next prime number, 587...

Nope. Try the next prime number, 593...

Nope. Try the next prime number, 599...

Nope. Try the next prime number, 601...

Nope. Try the next prime number, 607...

Nope. Try the next prime number, 613...

Nope. Try the next prime number, 617...

Nope. Try the next prime number, 619...

Nope. Try the next prime number, 631...

Nope. Try the next prime number, 641...

Nope. Try the next prime number, 643...

Nope. Try the next prime number, 647...

Nope. Try the next prime number, 653...

Nope. Try the next prime number, 659...

Nope. Try the next prime number, 661...

Nope. Try the next prime number, 673...

Nope. Try the next prime number, 677...

Nope. Try the next prime number, 683...

Nope. Try the next prime number, 691...

Nope. Try the next prime number, 701...

Nope. Try the next prime number, 709...

Nope. Try the next prime number, 719...

Nope. Try the next prime number, 727...

Nope. Try the next prime number, 733...

Nope. Try the next prime number, 739...

Nope. Try the next prime number, 743...

Nope. Try the next prime number, 751...

Nope. Try the next prime number, 757...

Nope. Try the next prime number, 761...

Nope. Try the next prime number, 769...

Nope. Try the next prime number, 773...

Nope. Try the next prime number, 787...

Nope. Try the next prime number, 797...

Nope. Try the next prime number, 809...

Nope. Try the next prime number, 811...

Nope. Try the next prime number, 821...

Nope. Try the next prime number, 823...

Nope. Try the next prime number, 827...

Nope. Try the next prime number, 829...

Nope. Try the next prime number, 839...

Nope. Try the next prime number, 853...

Nope. Try the next prime number, 857...

Nope. Try the next prime number, 859...

Nope. Try the next prime number, 863...

Nope. Try the next prime number, 877...

Nope. Try the next prime number, 881...

Nope. Try the next prime number, 883...

Nope. Try the next prime number, 887...

Nope. Try the next prime number, 907...

Nope. Try the next prime number, 911...

Nope. Try the next prime number, 919...

Nope. Try the next prime number, 929...

Nope. Try the next prime number, 937...

Nope. Try the next prime number, 941...

Nope. Try the next prime number, 947...

Nope. Try the next prime number, 953...

Nope. Try the next prime number, 967...

Nope. Try the next prime number, 971...

Nope. Try the next prime number, 977...

Nope. Try the next prime number, 983...

Nope. Try the next prime number, 991...

Nope. Try the next prime number, 997...

Nope. Try the next prime number, 1009...

Nope. Try the next prime number, 1013...

Nope. Try the next prime number, 1019...

Nope. Try the next prime number, 1021...

Nope. Try the next prime number, 1031...

Nope. Try the next prime number, 1033...

Nope. Try the next prime number, 1039...

Nope. Try the next prime number, 1049...

Nope. Try the next prime number, 1051...

Nope. Try the next prime number, 1061...

Nope. Try the next prime number, 1063...

Nope. Try the next prime number, 1069...

Nope. Try the next prime number, 1087...

Nope. Try the next prime number, 1091...

Nope. Try the next prime number, 1093...

Nope. Try the next prime number, 1097...

Nope. Try the next prime number, 1103...

No good. 1103 is larger than 1100. So we're done reducing.

Congratulations! Here's your final answer to 87/100 + 4/11

87
100
+
4
11
=
1357
1100
© 2014 Randy Tayler