JSFiddle - React, Tailwind, and code Playground

HTML

<!-- Button trigger modal -->
<button class="btn btn-primary btn-lg" data-toggle="modal" data-target="#myModal">
  click me
</button>

<!-- Modal -->
<div class="modal fade" id="myModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true">
  <div class="modal-dialog">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-hidden="true">&times;</button>
        <h4 class="modal-title" id="myModalLabel">Modal title</h4>
      </div>
      <div class="modal-body">
          <p><img class='img-responsive' src="http://i.stack.imgur.com/X9H81.jpg"/></p>
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
      </div>
    </div>
  </div>
</div>

CSS

.modal-dialog {
  height: 100%;
  margin: 0;
  padding: 10px;
}
.modal-content { height:100%; }
.modal-body {
    position: absolute;
    padding: 15px;
    left:0;
    right:0;
    top: 55px;
    bottom: 65px;
    margin: auto;
}
.modal-body > p {
    height: 100%;
    margin: 0;
}
.img-responsive{
    max-height: 100%;
    max-width: 100%;
    margin: auto;
}
.modal-footer {
    position: absolute;
    bottom: 0;
    left: 0;
    right: 0;
}