Solutions by everydaycalculation.com

5/8 + 2/10 is 33/40.

1. Find the least common denominator or LCM of the two denominators:
LCM of 8 and 10 is 40

Next, find the equivalent fraction of both fractional numbers with denominator 40
2. For the 1st fraction, since 8 × 5 = 40,
5/8 = 5 × 5/8 × 5 = 25/40
3. Likewise, for the 2nd fraction, since 10 × 4 = 40,
2/10 = 2 × 4/10 × 4 = 8/40
4. Add the two like fractions:
25/40 + 8/40 = 25 + 8/40 = 33/40
5. So, 5/8 + 2/10 = 33/40

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":0.57092094,"math_prob":0.999238,"size":358,"snap":"2021-31-2021-39","text_gpt3_token_len":172,"char_repetition_ratio":0.24011299,"word_repetition_ratio":0.0,"special_character_ratio":0.54189944,"punctuation_ratio":0.05154639,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9993347,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-24T21:25:59Z\",\"WARC-Record-ID\":\"<urn:uuid:fc380f26-48b2-48fc-9273-09c5566f24c3>\",\"Content-Length\":\"8270\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8b1cf429-13d9-4240-b8e8-812e0bc63ce3>\",\"WARC-Concurrent-To\":\"<urn:uuid:ca04eec2-99b7-452d-a6c5-66e4d8d09e48>\",\"WARC-IP-Address\":\"96.126.107.130\",\"WARC-Target-URI\":\"https://answers.everydaycalculation.com/add-fractions/5-8-plus-2-10\",\"WARC-Payload-Digest\":\"sha1:UT3JBSBNVEYDT5LEQYHZ6IKO5XN3AATK\",\"WARC-Block-Digest\":\"sha1:YK7XQMCSIPPXNLFWBQD5LJXR23AMKMXL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046150308.48_warc_CC-MAIN-20210724191957-20210724221957-00073.warc.gz\"}"}