Solutions by everydaycalculation.com

1/2 + 21/40 is 41/40.

1. Find the least common denominator or LCM of the two denominators:
LCM of 2 and 40 is 40
2. For the 1st fraction, since 2 × 20 = 40,
1/2 = 1 × 20/2 × 20 = 20/40
3. Likewise, for the 2nd fraction, since 40 × 1 = 40,
21/40 = 21 × 1/40 × 1 = 21/40
20/40 + 21/40 = 20 + 21/40 = 41/40
5. So, 1/2 + 21/40 = 41/40
In mixed form: 11/40

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":0.88933176,"math_prob":0.9982262,"size":679,"snap":"2020-24-2020-29","text_gpt3_token_len":306,"char_repetition_ratio":0.1837037,"word_repetition_ratio":0.0,"special_character_ratio":0.55081004,"punctuation_ratio":0.07647059,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99824846,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-10T11:06:20Z\",\"WARC-Record-ID\":\"<urn:uuid:2689eda3-9721-4fa3-a82f-abd945681f06>\",\"Content-Length\":\"7792\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:48593b9e-20c4-44c5-b521-a3a6d83833b9>\",\"WARC-Concurrent-To\":\"<urn:uuid:893183a3-006a-4f16-ba1f-ecb49e681dda>\",\"WARC-IP-Address\":\"96.126.107.130\",\"WARC-Target-URI\":\"https://answers.everydaycalculation.com/add-fractions/1-2-plus-21-40\",\"WARC-Payload-Digest\":\"sha1:JH5QEQCF7ULQFMT5UYQRO4KRMDFQ6QBG\",\"WARC-Block-Digest\":\"sha1:GEZUQSNUZKO2IYSJSTK6VVOETZVN5LTT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655906934.51_warc_CC-MAIN-20200710082212-20200710112212-00469.warc.gz\"}"}