Solutions by everydaycalculation.com

2/42 + 8/20 is 47/105.

1. Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
2. For the 1st fraction, since 42 × 10 = 420,
2/42 = 2 × 10/42 × 10 = 20/420
3. Likewise, for the 2nd fraction, since 20 × 21 = 420,
8/20 = 8 × 21/20 × 21 = 168/420
20/420 + 168/420 = 20 + 168/420 = 188/420
5. 188/420 simplified gives 47/105
6. So, 2/42 + 8/20 = 47/105

MathStep (Works offline) Download our mobile app and learn to work with fractions in your own time:
{"ft_lang_label":"__label__en","ft_lang_prob":0.7236668,"math_prob":0.9913815,"size":332,"snap":"2020-24-2020-29","text_gpt3_token_len":140,"char_repetition_ratio":0.21341464,"word_repetition_ratio":0.0,"special_character_ratio":0.5060241,"punctuation_ratio":0.061728396,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99842036,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-06-05T16:54:25Z\",\"WARC-Record-ID\":\"<urn:uuid:bec165d6-a998-42f9-8f6e-9ee825694fd0>\",\"Content-Length\":\"7990\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:15418c83-d50e-4a03-bc67-76fbb077663d>\",\"WARC-Concurrent-To\":\"<urn:uuid:1db26189-edc4-4923-adb4-8d5ac5f98a43>\",\"WARC-IP-Address\":\"96.126.107.130\",\"WARC-Target-URI\":\"https://answers.everydaycalculation.com/add-fractions/2-42-plus-8-20\",\"WARC-Payload-Digest\":\"sha1:G7RHURUGI34WYH7M556LOFQZ23DWPYTT\",\"WARC-Block-Digest\":\"sha1:UW5RNPI7SOHUFC6PU5BQSDRTZXTJAD7N\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-24/CC-MAIN-2020-24_segments_1590348502097.77_warc_CC-MAIN-20200605143036-20200605173036-00193.warc.gz\"}"}