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What version of Mac OS X are you using ?
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What version of Mac OS X are you using ? Click on the Apple icon and select About This Mac. You can find the version number there
To upgrade to latest Safari, you need to upgrade the current OS X to latest version. The latest OS Xis 10.11 El Capitan. Upgrading to El Capitan also update Safari and other browsers.
Follow the steps below to upgrade the OS X if your Mac support it.
Click on the Apple icon and App Store. This will bring App Store. Click Updates tab. If your Mac can handle latest OS X, then you will see Mac OS X El Capitan there with FREE UPGRADE button. Click Free Upgrade and enter your Apple ID and password.
This will download the update. It may take a few hours to download. Once the download is completed, it will bring the OS X Installer. Follow the onscreen instructions to install it. It may take up to 3 hours to install the upgrade.
If you have any difficulty on following the steps above, please let me know and I will continue to help you.